The length of a rectangle is 8feet less than the width. The perimeter is 64 feet. Find the length and the width

Answers

Answer 1

Answer:

Length = 4 feet

Width = 4 feet

Step-by-step explanation:

The perimeter of a rectangle formula = 2L + 2W

Where L = Length

W = Width

The length of a rectangle is 8feet less than the width.

Hence,

L = 8 - W

The perimeter is 64 feet.

Hence,

64 = 2(8 - W) × 2W

64 =( 16 - 2W )2W

64 = -4W² + 32W

4W² - 32W + 64 = 0

Factorise

4W² - 16W - 16W + 64 = 0

4W (W - 4) - 16(W - 4) = 0

W - 4 = 0

W = 4

Width = 4

Solving for L

L = 8 - W

L = 8 - 4

L = 4

Therefore,

Length = 4 feet

Width = 4 feet


Related Questions

Brenda had bowling scores of 92, 110, 85, 78, and 96. She completed the steps below to determine the score she needs in her next game to have a mean, or average, bowling score of 96. Step 1: Find the total points needed to score in six games: 96 times 6 = 576. Step 2: Find the total points scored: 92 + 110 + 85 + 78 = 365. Step 3: Subtract the total points scored from the total points needed: 576 minus 365 = 211. Step 4: State the answer: Brenda needs to score 211 in her next game. Where did Brenda make her first mistake? Step 1 Step 2 Step 3 Step 4 Mark this and return

Answers

Answer:

Step 2

Step-by-step explanation:

Step 1: Find the total points needed to score in six games: 96 times 6 = 576.

Step 2: Find the total points scored: 92 + 110 + 85 + 78 = 365.

WRONG

Step 1: Find the total points needed to score in six games: 96 times 6 = 576.

Step 2: Find the total points scored: 92 + 110 + 85 + 78 + 96 = 461

Step 3: Subtract the total points scored from the total points needed: 576 minus 461 = 115

Step 4: State the answer: Brenda needs to score 115 in her next game.

Therefore,

Brenda make her first mistake in step 2

Answer:

the answer is Step 2

Step-by-step explanation:

the answer is Step 2

HELP ASAP!!!!!!!!!!Please

Answers

Answer:

D)  x = -3

Step-by-step explanation:

At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.

Answers

Answer: 6% decrease

Step-by-step explanation:

Answer:

6% decrease

Step-by-step explanation:

Given that,

Initial number of students = 1200

At the end of the year there were 1128 students

We need to find the  percent of  change in enrollment.

Change in enrollment = 1200 - 1128 = 72

The percentage of change is :

[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]

So, there is a decrease of 6% in number of students.

how do i do this pls help

Answers

Answer:

a ) JKM=

90+25+JKM=180°(sum of angle of triangle)JKM=180-115JKM=65°

b) NJM

37+NJM=90° {given in figure}NJM=90-37NJM=53°

c). JNM

53+25+JNM=180°(sum of angle of triangle)JNM=180-78JNM=102°

stay safe healthy and happy....

hey! i’ll give brainliest please help.

Answers

Answer:

I think Darius I is the correct answer.

PLEASE HELP GIVING 70 POINTS NEED THIS BEFORE 2:30

Answers

Answer:

(-4,2)

Step-by-step explanation:

A reflection means you flip the graph up, then the point goes to (-4,2).

If this helps please mark as brainiest would really appreciate it

Answer:

4,2

Step-by-step explanation:

If sine > 0 and tane < 0 then:

Answers

Answer:

its A

Step-by-step explanation:

15. What is the height of a triangular pyramid that has a volume of 512 cubic feet, a base length of 24 feet, and a base height of 8 feet? feet (do not enter label) Round to the nearest TENTH if necessary. please do not send website​

Answers

Answer:

16 ft

Step-by-step explanation:

height of pyramid = (3×512)/(½×24×8)

= 1536/96

= 16 ft

The population of a city increases by 5% every year. If its population today is 300,000, while its population be in two years?

Answers

Answer:

300,000 x (1.05)^2

Step-by-step explanation:

300000 x (1+5%)^2 = 330750

2 8 −10−15÷3=2, start superscript, 8, end superscript, minus, 10, minus, 15, divided by, 3, equals

Answers

Answer:

241

Step-by-step explanation:

Given the equation to evaluate :

2^8 −10−15÷3

2^8 = 256

256 - 10 - 15 ÷ 3

From BODMAS principle, we evaluate the divison before subtraction :

-15 ÷ 3 = - 5

256 - 10 -5

256 - 15

= 241


In the figure below, m ZABD=70°, and m 2 2 is four times m 2 1. Find m2 1.
А
mZ1 = 33
]
B
D
Recheck
Try one last time
2021

Answers

Answer:

angle m1 = 14 degrees

Step-by-step explanation:

angle ABD = 70 deg

angle m1 + angle m2 = 70 deg

angle m2 = 4 * angle m1

angle m1 + (4 * angle m1) = 70 deg

5 * angle m1 = 70 deg

angle m1 = 14 deg

find the measure of a, b, c, d and e.

Answers

Answer:23

Step-by-step explanation:

What number divided by −3 gives 12 as the result?

Answers

Answer:

-36

Step-by-step explanation:

-3 ×12=--36

Solution,
Let x is the results
From question we know
For x if divides by -3 we can get 12 so
So x/-3=12
Or. x= 12 x -3
So x= -36 is answer
Conclusion : = -36 number divided by -3 gives 12 as the results.

Which best explains how to find the volume of a prism?


Find the height of the base and multiply it by the length.

Find the width of the base and multiply it by the height.

Find the area of the base and multiply it by the height.

Find the area of the lateral sides and multiply it by the height of the base.

Answers

I have read this all and see it but I think it’s the 3rd one but yea that’s one I would recommend

Answer:

Find the area of the base and multiply it by the height

Step-by-step explanation:

Volume Rectangular Prism = L x W x H

L x W = Area base

So it is Area of base x height

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

need help to pass please

Answers

Answer:

x=1

Step-by-step explanation:

a(a+b)=c(c+d)

4(6x+4)=5(3x+5)

24x+16=15x+25

9x=9

x=1

D
A
Which point is the
orthocenter of AABC?
F
E
B
A. Point D
B. Point E
C. Point F

Answers

Answer:

the answer is point f. mostly the answer of such type of questions are the points which do not lie ON the circle

What triangles can you make out of a rhombus

Answers

Answer:

Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.

Hope it helps ya mate! please give me brainliest!.ت︎ ت︎

Can anyone help with just the 2 bottom ones pls I begg

Answers

Answer:

D: y=58

Step-by-step explanation:

pls mark brainliest

If triangle ABC ≅ triangle XYZ and AB = 3, BC = 6 and AC = 4, what is the length of ?

Answers

Answer:

4

Step-by-step explanation:

Please mark brainliest

Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2

Answers

Answer:

Area of a circle = πr^2 if pi here = 3

then (3 × 81) in^2 = 243 in^2

Hope it helps

Answer:

The area of circle is 254.34 in².

Step-by-step explanation:

Given :

[tex]\small\purple\bull[/tex] Diameter of circle = 18 in

To Find :

[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circle

Using Formulas :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter

[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]

[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radius

Solution :

Here we have given that diameter of circle is 18 in. So, finding the radius of circle :

[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]

[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]

[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]

[tex]\implies{\sf{Radius = 9 \: in}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]

Hence, the radius of circle is 9 in.

[tex]\rule{200}2[/tex]

Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :

[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]

Hence, the area of circle is 254.34 in².

[tex]\rule{300}{1.5}[/tex]

Find all vertical asymptotes of the following function f(x)=9x^2-64/2x+14

Answers

Answer:

Step-by-step explanation:

Was the latter half of this function, -64 / 2x + 14, meant to be:

-64 / 2x              +              14, or

-64 / (2x + 14)?

In the first case the vertical asymptote is x = 0.

In the second, the vertical asymptote is the root of 2x + 14, or x = -7

Use parentheses in problems such as this one, to eliminate ambiguity.

The probability that one wristband is defective is 1/20. In a case of 840 wristbands, how many would be defective

Answers

Answer :

42 wristbands would be defective

Explanation :

840•1/20=42

Solve each equation, explain how you figured it out. (No fake answers!!Proper ones pleaser!!)

A. 25 - 3x = 40

B. 2 (x - 10) = -4

Answers

Answer:

A. x= -5

B. x= 8

Step-by-step explanation:

A. 25 - 3x = 40

-3x = 40 - 25

-3x = 15

x= 15/-3

x= -5

B. 2 (x-10) =  -4

x-10 = -4/2

x-10 = -2

x = 8

A. 25 - 3x = 40

         -3x = 40 - 25

               = 15

            -x = 15/3

             x = -5

   Checking

    25 - 3*-5 = 40

    25 + 15 = 40

            40 = 40

       LHS = RHS

B. 2(x-10) = -4

    2x - 20 = -4

            2x = -4 +20

             x = 16/2 = 8

Hope u understand

Please mark as the brainliest

Thank You

on a venn diagram shade the region
a'n(bnc)​

Answers

Answer:

See the three attached images.

Step-by-step explanation:

image1 shows the intersection of b and c:  [tex]b \cap c[/tex]. (green "football")

image2 shows the complement of a (outside a):  [tex]a'[/tex]  (yellow)

image3 shows the intersection of those sets:  [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it")   :-)

If tan0 = 4/11, then what will tan(90- 0) be? Please show work

Answers

Answer:

11/4

Step-by-step explanation:

tan(90-x)=cot(x) by cofunction identity

tan(90-x) is therefore the reciprocal value of tan(x) since tan(x) is the reciprocal of cot(x) or vice versa.

tan(90-x)=11/4 since tan(x)=4/11

Answer:

11/4

Step-by-step explanation:

[tex]\tan(90-\theta) = \frac{\sin(90-\theta)}{\cos(90-\theta)} = \frac{\cos\theta}{\sin\theta}=\cot\theta = \frac{1}{\tan\theta} = \frac{11}{4}[/tex].

I need help brainy pls!!!!!!!!​

Answers

Answer:

its the first one

Step-by-step explanation:

im in 8th grade and im like a 11th grader bc im smart :)

hii! please help asap. i’ll give brainliest

Answers

Answer:

4

Step-by-step explanation:

The numbers you have are 2, 2, 3, 4, 8, 8, 8

First, cross out 2 on the very left and 8 on the very right.

Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.

If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!

Put Them in The box They Go in

Answers

Answer:

[tex] \frac{1}{3} \times r - 4 \\ 3 \times r - 4 \\ \frac{1}{3} \times r + 4 \\ 3(r + 4)[/tex]

Find the surface area of the prism.

A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.

Answers

Answer:

400cm²

Step-by-step explanation:

Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²

Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²

Total surface area = 280 + 120 = 400cm²

The line y = 6 - 2x passes through the point (2, 2)
is it correct?​

Answers

Answer:

Yes

Step-by-step explanation:

We can substitute the point (2, 2) into the equation. So, in place of x would be 2 and in place of y would be 2 as well:

y = 6 - 2x

2 = 6 - 2(2)

2 = 6 - 4

2 = 2

Since the above is a true statement, the point (2, 2) must belong to the line y = 6 - 2x

Yes, the line y=6-2x passes through the point (2, 2).

Given that, the line y=6-2x passes through the point (2, 2).

What is the slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

Here, substitute (x, y)=(2, 2) is the given line y=6-2x, we get

2 = 6-2(2)

2 = 2

Since, LHS = RHS

Yes, the line y=6-2x passes through the point (2, 2).

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

#SPJ2

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