Naomi used a rectangle, a square, and a right triangle to form the following figure. What is the area of the shaded region of the figure in square centimeters?

Naomi Used A Rectangle, A Square, And A Right Triangle To Form The Following Figure. What Is The Area

Answers

Answer 1

Answer:

102cm²

Step-by-step explanation:

Step 1 find the area of the whole rectangle

Area of a rectangle = width times length

The width of the rectangle is 20 cm and the length is 6cm

So the area = 20 * 6

20 * 6 = 120

Hence the area of the rectangle is 120 square centimeters.

Step 2 Find the area of the square and the triangle

Area of square = s²

where s = side length

The square has a side length of 3 so the area of the square = 3²

3² = 9

Hence, the area of the square is 9cm²

Now to find the area of the triangle

area of a triangle = [tex]\frac{bh}{2}[/tex] where b = base length and h = height

We are given the height (3 cm, this is given because the square is sharing it's side length with the height of the triangle.)

Now to find the base length

We can find it by subtracting the overall rectangle's width (20cm) by the bottom width (11 cm) and the bottom length of the square ( 3 cm )

so triangle's base length = 20 - 11 - 3

20 - 11 - 3 = 6

so the base length of the triangle is 6 cm

now we plug in the values of the height and the base length into the formula

[tex]A=\frac{6*3}{2} \\6*3=18\\\frac{18}{2} =9[/tex]

Hence the area of the triangle is 9 cm²

Finally, to find the area of the shaded area, we subtract the area of the triangle and the area of the square from the area of the rectangle

so your answer = 120 - 9 - 9

120 - 9 - 9 = 102

Hence, the area of the shaded region is 102 square centimeters.


Related Questions

Find the volume of a rectangular prism with the dimensions:

length: 4 yd
width: 5 ft
height: 11 ft

(keep in mind, that 1 of them is yards and the rest are feet)

Answers

Answer:

220

Step-by-step explanation:

V= whl = 5 · 11 · 4 = 220

Question:-

Find the volume of a rectangular prism with the dimensions:

length: 4 yd

width: 5 ft

height: 11 ft

Answer:-

Given:-

[tex] \bullet [/tex] Length of a rectangular prism = 4 yards = 4 × 3 = 12 feet.

[tex] \bullet [/tex] Breadth of a rectangular prism = 5 feet.

[tex] \bullet [/tex] Height of a rectangular prism = 11 feet.

To Find:-

The volume of a rectangular prism.

Solution:-

We know,

Formula of Volume of a rectangular prism is (Length × Breadth × Height) cubic units.

So, Volume = (12 × 5 × 11) cubic feet

Volume = 660 cubic feet

The volume of a rectangular prism is 660 cubic feet. [Answer]

What is the area of the following figure?

Answers

Answer:

Area = 136

Step-by-step explanation:

Rectangle on the bottom

Length = 16

Width = 7

Area = L * W

Area = 16 * 7

Area = 112

Triangle on Top

Height = 13 - 7 = 6

Length = 16 - 8 = 8

In a right triangle the area = the product of the 2 shortest sides divided by 2

Area = 1/2 * Length * Height

Area = 1/2 * 8 * 6

Area = 1/2 48

Area = 24

Total Area = 112 + 24 = 136

Please help :)

A sample of 60 Grade 9 students' ages was obtained to estimate the mean age of all Grade 9 students. X = 15.3 years and the population variance is 16.

a. What is the point estimate for μ?

b. Find the 95% confidence interval for μ.

C. Find the 99% confidence interval for μ.

d. What conclusions can you make based on each estimate?

(No links or you get reported)​

Answers

i linked the ACTUAL answer in the comments on a website i found to the answer to your question. get the app socratic it helps. it’s legit i promise

Line A has the equation 4x+3y=12. Line B is parallel to Line A and has a y- intercept of 2. What is the equation of the Line B in slope-intercept form?​

Answers

Answer: A: y= -4/3x + 2

Step-by-step explanation: By working out the problem this is what I ended up with.

help me pls, i’ll mark brain list.

Answers

Answer:

1.43 minutes to get same height

Step-by-step explanation:

Equation

180 - 8x = 160 + 6x

14x = 20

x = 1.43 minutes

Mhnaifa can you please help?

Answers

Answer:

1: 9

2: i dont know sorry

3: 21/2

Step-by-step explanation:

1: know that the bottom portion of the triangle is 18  the bottom left is 12 and the top left is 6. Now you could say that its six because they look the same size but we cant be sure, and six isnt an option. i dont know how to solve so we're using process of elimination so bare with me. we alread have 12 and 18 and theyre way bigger, it cant be 11 because it wouldnt be that small. so in my mind its 9.  

2:  n/A

3: because i said so

Answer:

#1

AQ/QC = AP/PBAQ / 18 = 6 / 12AQ = 18/2AQ = 9

Option D

#2

x/ 12 = 10 / 24x = 12*10/24x = 5

#3

(x - 8)/5 = 2/42(x - 8) = 52x - 16 = 52x = 21x = 21/2

Option B

please help!! and please show work if possible! :)))

Answers

Answer:

Step-by-step explanation:

No they are not similar triangles.

In similar triangles, corresponding side will be in same ratio.

[tex]\frac{KM}{NC}=\frac{36}{28}=\frac{9}{7}\\\\\\\frac{KL}{PN}=\frac{24}{16}=\frac{3}{4}\\\\[/tex]

Corresponding sides are not in same ratio. So these are not similar triangles

G. 9−7+{−2+3−[4−2+(3+2)−7]+8} h. – {- [ (14 - 7) - (32 - 41)]} i. – [(-8 + 3) + (- 21 – 12)] j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } k. (9 + 7 – 2 + 4) – ( 9 -12 )

Answers

Answer:

g.  9−7+{−2+3−[4−2+(3+2)−7]+8} = 11

h. – {- [ (14 - 7) - (32 - 41)]} = +  16

i. – [(-8 + 3) + (- 21 – 12)] = + 38

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506

k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21

Step-by-step explanation:

These questions are solved by solving the small brackets, then square brackets and then the curly brackets.

g.  9−7+{−2+3−[4−2+(3+2)−7]+8}

=  9−7+{−2+3−[4−2+(5)−7]+8}     Solving inner  small brackets

= 9−7+{−2+3−[9−2−7]+8}            Solving outer square brackets

= 9−7+{−2+3−0 +8}                     Solving curly brackets

=9−7+{9}                        Adding like terms ( adding positive terms)

= 18-7

= 11

h. – {- [ (14 - 7) - (32 - 41)]}

= – {- [ (14 - 7) - (-9)]}                  Solving inner  small brackets

= – {- [ (7) +9]}                           Solving inner  small brackets

= – {- [ 16 ]}                              Solving outer square brackets

= – {-  16 }                                 Solving curly brackets

= +  16                                      (-*-= +)

i. – [(-8 + 3) + (- 21 – 12)]

= – [(-8 + 3) + (- 33)]            Solving inner  small brackets

= – [(-5 - 33)]                      Solving inner  small brackets

=– [( - 38 )]                              Solving outer square brackets

= + 38                                        (-*-= +)

j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }

= 500 – {( 6 + 4 + 3 + 16  – 18 -10 – 2) – 5 }         Solving inner  small brackets

= 500 – {( 29  – 30) – 5 }                   Solving inner  small brackets

= 500 – {(  – 1) – 5 }               Solving inner  small brackets

= 500 – { – 6}                                Solving curly brackets

= 500  + 6                                        (-*-= +)

= 506

k. (9 + 7 – 2 + 4) – ( 9 -12 )

= (9 + 7 + 4– 2 ) – (  -3 )                        Solving inner  small brackets

= (20 – 2 ) – (  -3 )                                 Solving inner  small brackets

= (18 ) – (  -3 )                                           (-*-= +)

= 18   +3

=21

How to simpfly fractions?
-Step by step
-Answer 15/36

Answers

Answer:

5/12

Step-by-step explanation:

15÷3/36 ÷3

the answer is 5/12

Answer:

5/12

Step-by-step explanation:

15/36 ÷ 3

5/12

mark mope brainliest

In figure find the value of x triangle PQR

20 POINTSSSS

Answers

Answer:

Divide

Step-by-step explanation:

Find the value of x that makes the equation true
3 ( x- 8 ) + 2x = 76

Answers

Answer:

x = 20

Step-by-step explanation:

3 (x-8) +2x = 76

3x - 24 +2x = 76

3x+2x = 76+24

5x = 100

x = 20

Find the value of x in the triangle shown below.
C =
56
31
x

Answers

93 I think since tri’s add up to 180 degrees

Please help me answer

Answers

Answer:

C

Step-by-step explanation:

C is the correct answer

A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?

Answers

Answer:

7.22 feet

Step-by-step explanation:

From the question,

s = d/t................. Equation 1

Where s = speed of the space shuttle, d = distance traveled by the shuttle in an hour, t = time taken to travel the distance

make d the subject of the equation,

d = s×t.................... Equation 2

Given: s = 2.6×10000 feet per seconds, t = 1 hour =  3.6×1000 seconds.

Substitute these values into equation 2

d = (2.6×10000)/(3.6×1000)

d = 26000/3600

d = 7.22 feet.

Hence the shuttle travels 7.22 feet in an hour

Ratio tables what’s the missing ratio

Answers

Answer:

16

Step-by-step explanation:

To solve we must first find what the given ratios equal

8/5 = 1.6

40/25 = 1.6

48/30 = 1.6

this means that x/10 = 1.6

To find x... multiply both sides of this equation my 10 to get x alone

x=1.6×10

x=16

Answer:

16

Step-by-step explanation:

I Hope this helps!

which is fraction closest to zero? -1/3 -1/6 3/8 4/5​

Answers

Answer:

-1/6

Step-by-step explanation:

Take the absolute value of all the numbers. The smallest one corresponds to the number closest to zero.

Answer: -1/6

please help with these problems!! It’s getting really late and they’re due !!

Answers

Answer:

b = 9 inches

Step-by-step explanation:

Given that,

The area of triangle LMN = 36 inch²

The height of the triangle, h = 8 inches

We need to find the base of the triangle. The formula for the area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh\\\\b=\dfrac{2A}{h}\\\\b=\dfrac{2\times 36}{8}\\\\b=9\ inches[/tex]

So, the base of the triangle is equal to 9 inches.

. If x = -4 and y = 2x – 1, then y equals what number?

Answers

Answer: y = -8x - 1

Step-by-step explanation: 2 x (-4) is -8. Therefore you get y = -8x - 1

(please mark as brainliest) :D

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{If x = -4 then SUBSTITUTE it in the equation, where x is at}[/tex]

[tex]\large\textsf{y = 2(-4) - 1}[/tex]

[tex]\large\textsf{2(-4) = \bf -8}[/tex]

[tex]\large\textsf{-8 - 1}[/tex]

[tex]\large\textsf{= \bf -9}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \huge \bf y = -9}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

{67, 68, 68, 71, 73, 73, 73, 74, 74, 74, 74, 75, 75, 77, 78, 79, 79, 80, 80}
What is the mode of the data?
68
71
74
75

Answers

Answer:

74

Step-by-step explanation:

Mode is the number that shows up the most in the data.

a 42 inch diameter tablecloth that hangs off the edge 8 inches. what is the area of the tablecloth use 3.14 for pi​

Answers

Answer: 1384.74

Step-by-step explanation:

A=πr^2

radius=42/2=21

(3.14)(21)^2

3.14(441)

1384.74

2. Write down a number that has a value less than |14.7|

Answers

Absolute Value of 14.7 is 14.7 any number below 14.7.

In a right triangle, the length of one leg is 7 ft. The length of the other leg is 10 ft. What is the length of the hypotenuse?

[tex]A 149 ft. Squared \\B 51 ft. Squared\\C 17 ft\\D 289 ft. Squared[/tex]

Answers

Answer:

12^2: 7^2 + 10^2

49 + 100 = 149

12^2: 12 x 12 = 144 close enough

Step-by-step explanation:

12 is your answer

Parallelogram FIRE

Given:
[tex]fi = (3x - 5) \: cm[/tex]
[tex]ir = (2y - 7) \: cm[/tex]
[tex]re = (x + 7) \: cm[/tex]
[tex]ef = (y + 3) \: cm[/tex]
a. What is the value of x?
b. How long is FI?
c. What is the value of y?
d. How long is EF?
e. From your answers in b and d, what is the perimeter of parallelogram FIRE?

Answers

Answer:

See the solutions below

Step-by-step explanation:

First note that the opposite side of a parallelogram are equal, hence;

For Parallelogram FIRE

fi = re

ef = ir

Given

fi = (3x-5)cm

ir = (2y -7)cm

re = (x+7)cm

ef = (y+3)cm\

a) If fi = re, then;

3x - 5 = x+7

3x - x = 7+5

2x = 12

x = 12/2

x = 6

b) Since FI = 3x - 5

FI = 3(6) - 5

FI = 18 - 5

FI = 13cm

c) Also ef = ir

y+3 = 2y - 7

y - 2y = -7-3

-y = -10

y = 10

d) EF = y+3

EF = 10 +3

EF =13cm

e) Perimeter of the parallelogram = FI + IR + RE + EF

Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm

Perimeter of the parallelogram = 52cm

A triangle has three angles that measure 50 degrees, 40 degrees and
2x. What is the value of x ?

Answers

Answer:

45 degrees

Step-by-step explanation:

since a triangle has angle that add up to 180.Take 50 add with 40 and then divide by 2

what the answer of ½ ÷ ½

Answers

Answer:

its 1

Step-by-step explanation:

Write an EQUATION that represents what is seen in the figure.

Answers

Step-by-step explanation:

x°+55°+40°=180°

x=180-95

×=85°

If the mean of this distribution is 13.7, which could NOT be the median

A.9
B.14
C.16
D.18

Answers

Answer:

A

Step-by-step explanation:

Mark as brainllest

Answer:

A

Step-by-step explanation:

give fitzroywilliamsjr6 Brainllest plz

HURR FAST MARK AS BRAINIEST PLS

Answers

Answer:it would be c

Step-by-step explanation:

Answer:

C: {-2, -1, 0, 1, 2, 3}

If x+2y=12 and x-y=3 find the value of x+y

Answers

The answer would be 9

x-y=3
x=3+y

X+2y=12
(3+y) + 2y=12
3y+3=12
3y=9
Y=3

X-(3)=3
X=6

X+y
6+3=9

OMG PLEASE HELP YOUR BOY OUT I NEED TO GET THIS ONE RIGHT TO PASS THE TEST!!!
Which of the following rational functions is graphed below?

A. F(x) = (x - 1)/((x + 2) ^ 2)
B. F(x) = (x + 1)/((x + 3)(x - 2))
C. F(x) = (x - 1)/(x(x - 3))
D. F(x) = (x - 1)/(x(x + 2)) O

Answers

the answer is b i think i’m not sure

Answer:

The Answer is C

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