the width of a rectangle is 2 in less than its length the area is 24 square inches find the dimensions of the rectangle

Answers

Answer 1

Answer:

6,4

Step-by-step explanation:

Create a system of equations

l-2=w

w*l=24

Substitute

l-2*1=24

l=6

6-2=4

w=4

Answer 2

Dimensions of the rectangle are 6inch and 4 inch.

What is rectangle?

"Rectangle is a quadrilateral whose all  angles are right angle and opposite sides are parallel and equal in measurement."

What is dimensions?

" Dimension is measurement of any object such as length, width and height of any object."

What is area?

"Area is a space occupied by an object."

Let 'l' be the length of the rectangle.

According to the question,

Width = l - 2

Area= 24 square inches

Formula used

Area of a rectangle = length x width

[tex]24 = l[/tex] × [tex](l-2)[/tex]

⇒[tex]24[/tex] = [tex]l^{2} -2l[/tex]

[tex]l^{2} -2l -24=0[/tex]

⇒[tex]l^{2} -6l+4l -24 =0[/tex]

⇒[tex]l(l-6) +4(l-6) =0[/tex]

⇒[tex](l-6)(l+4) =0[/tex]

⇒[tex]l=6[/tex] or [tex]l= -4[/tex]

length cannot be negative.

Therefore, [tex]l=6[/tex]inch

⇒width = [tex]6-2[/tex]

⇒ width = 4 inch

Hence the dimensions of the rectangle are 6inch and 4 inch.

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Related Questions

All 50 digits of pi.
(Giving brainliest to first correct answer.)

I’m trying to figure out how this thing works. I’ve never asked a question.

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510

Step-by-step explanation:

Step-by-step explanation:

172738192739q0wiw7uqsjs

-4x – y = 24
Complete the missing value in the solution to the equation.

Answers

Answer:

x = -5

y = 1

Step-by-step explanation:

-4(-5)-1=24

25-1=24

24=24

Answer: x= -6, y= 6

Step-by-step explanation:

what is the perimeter of figure B ?

Answers

Answer:

35 for perimeter of b

122.5 for perimeter of a

Step-by-step explanation:

To find the perimeter, you add all of the values of the outside of the shape together. Since 12+9+9+5 = 35, the answer is 35.

Okay, so what you have to do is set up a proportion for a to b. To do that, you have to have a fraction where a is the numerator and b is the denominator. 7/2 equals x/35. Then cross multiply

7*35 = 2x

x = 122.5 :)

Answer:

The perimeter is 35.

Step-by-step explanation:

To find perimeter, add all the sides together.

9 + 9 + 5 + 12 = 35

The perimeter is 35.

SOEINE HELP ME ASAPPP PLZ

Answers

Answer:

i attatched a picture of how it should look

Step-by-step explanation:

In an isosceles triangle, one of the equal interior angles is equal to the adjacent exterior
angle divided by 5. What are the values of the 3 interior angles in the triangle? Make sure
to draw and label a sketch of the triangle.

Answers

Answer:

Step-by-step explanation:

can you show a picture?

Find the perimeter of A ABC. If necessary, round to the nearest tenth.

Answers

Answer:

37.6

Step-by-step explanation:

A to B - just count up the numbers, it's 10

B to C - just count up the numbers, it's 12

A to C - Now this is a right triangle, so use the Pythagorean theorem(10^2 + 12^2 = 244, and take the square root of that, which is 15.62 and round to 15.6

And just add them together 10+12+15.6 to get 37.6

Solve 56 > -7x
Thank you!

Answers

Answer:

-8 > x

Step-by-step explanation:

56 divided by -7 = -8

-8 > x

make sure to double check before turning it in!

Sugar Rounds Donut Shop offers 2 free donuts with every 20 purchased donuts. Sweet Delights Donut Shop offers 3 free donuts with every 30 purchased donuts. Which donut shop offers a greater ratio of free donuts to purchased donuts?

Answers

Answer:

there the same ratio because there both offering the same ratio of of there number

3x10=30 ratio : 10

2x10=20 ratio: 10

Step-by-step explanation:

HELP PLEASE GIVING BRAINLIEST!!!

Answers

Answer:

161

Step-by-step explanation:

161 bc it is the same as angle 3



What is the greatest common factor of 32, 44, and 48?

Answers

Answer:

4

Step-by-step explanation:

Jazmine's bakery shop Sells doughnut boxes for $10, In addition $5 for the toppings

Answers

Answer:

y=10+5x

Step-by-step explanation:

Have a great day

Franklin needs 1.25 meters of ribbon to wrap each gift. He has a spool of ribbon that contains 25 feet of ribbon. One meter is equivalent to approximately 3 feet. How many gifts of the same dimension can he wrap using the spool of ribbon?

Answers

Answer:

6

Step-by-step explanation:

convert 1.25 meters to feet

1 meter = 3 feet

1.25 meters = 1.25 x 3 = 3.75 feet

Number of gifts he can warp = 25 feet / 3.75 = 6.6


Write an equation in slope-intercept form that would have infinitely many solutions in a system of
equations with 6x - 2y = 8.

help!!!!!

Answers

The answer is y=3x-4

How to prove this using trig identities?
(Tan B + Cot B)^2 = sec^2B + csc^2B

Thanks and please shows steps. I will vote best answer and helpful and do more.

Answers

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

 

                      = (sin2B + cos2B)/[(cosB)(sinB)]

 

                       = 1/[(cosB)(sinB)]

 

                        = (1/cosB)(1/sinB)

 

                        = (secB)(cscB)

George and carmen went on a bicycle trip. They took a bus to their starting point, and then biked the rest. They traveled 350 miles in total, and they biked 80 kilometers more than they were bused.

Answers

Complete question − How many kilometres did they travel by bus and by bicycle.

Answer:George and carmen traveled by bus in 135km and by bikein 215km

Step-by-step explanation:

Total Miles traveled  =   350 miles  

Let Number of kilometres they traveled with bus  = x

and Let Number of kilometres they traveled with bike = x + 80

so that the total distance traveled with bus and bike be expressed as

x + x + 80 =   350 miles  

2x + 80 =   350 miles  

2x =   350 − 80

2x =270

x=135

George and Carmen traveled by bus in 135km  

and by bicycle=x + 80 = 135 km + 80 =215km

Please help me find the length of EC

Answers

Answer:

15

Step-by-step explanation:

BD=AC

E is the midpoint of both lines, so BE=CE

Which of the following angle measurements would you find in an equilateral triangle?
A. 45°, 45°, 45°
B. 45°, 45°, 90°
C. 50°, 50°, 50°
D. 60°, 60°, 60°

Answers

Answer:

D. 60, 60, 60

Step-by-step explanation:

In an equilateral triangle, all sides are equal and equal to 180 when added together. because 60×3 is equal to 180, D is the right answer. I hope this helps you!

The angle measurements found in an equilateral triangle are 60°, 60°, 60°

What is an Equilateral Triangle?

An equilateral triangle is an angle that has equal angles and equal sides. It implies that all the sides of the angle contain the same length.

We can also say that an equilateral triangle is also equiangular since it has equal angles. If we recall, we know that the sum of angles in a triangle is 180°.

For a triangle with equal sides, it implies that each length will possess;

= 180°/3

= 60° each.

Learn more about equilateral triangles here:

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

x = 5.

y = -2

Step-by-step explanation:

y = x - 7

2x + y = 8

substitute the first equation into the second

2x + (x -7) = 8

2x + x - 7 = 8

3x - 7 = 8

3x = 8 + 7

3x/3 = 15/3

x = 5.

substitute 5 in the second equation

y = 5 - 7

y = -2

Answer :
x = 5 and y = -2

Solution : mark as brainliest plz

The area of the living room carpet was s 262.5 square feet. If the width of the room is 21 feet, then what is the length.


Please help, I’m taking an online test, I need it, quick. :)

(15 points!)

Answers

The length would be 12.5 feet.

A rectangle’s area is calculated with the formula:

A = L * W

To find the length, all we have to do is divide the area (A) by the width (W).

We get the equation:

262.5/21 = L

262.5/21 = 12

L = 12

For each of the following regular polygons, find: a) the sum of the interior angles, b) the measure of each interior angle, c) the sum of the exterior angles, and d) the measure of each exterior angle. Round answers to the nearest hundredth if necessary.

Answers

Answer:

wish i culd help

Step-by-step explanation:

Calculate the geometric mean of 12 and 20

Answers

Answer:

The Geometric mean of two numbers is the square root of their product.

Given numbers are 12,20.

Geometric mean = √(12*20)

= √240.

= 15.49.

= 15.5.

The geometric mean of 12 and 20 is 4√15.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 3 + 3x + 4y = 7 is an expression.

We have,

The geometric mean of a and b is √(ab).

Now,

a = 12 and b = 20

so,

The geometric mean of 12 and 20.

= √(12 x 20)

= √240

= 4√15

Thus,

The geometric mean of 12 and 20 is 4√15.

Learn more about expressions here:

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LOOK AT PIC PLS THX!! I WILL TRY TO GIVE BRAINLIEST TO RIGHT ANSWRR

Answers

Answer:

240 ounces

Step-by-step explanation:

y'know you could just look this up lol

Answer:

240 oz

Multiply pounds by 16

15 × 16 = 240

10.) Your dad is planning to increase the area of your rectangular patio. Your current patio is 8
feet by 10 feet, and your dad plans to double its area by adding the same amount x to its length
and width. Find the value of x, and the new dimensions of the patio.

Answers

Answer:

x = 3.69 feet

11.69 x 13.69 feet

Step-by-step explanation:

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

Answer:

x = 3.69 feet

11.69 x 13.69 feet

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

Please help! Slope intercept form

Answers

Answer:

3x + 5

Step-by-step explanation:

plug in (1,8) as x in y so it looks like this

8 = 3(1) + B then solve for B to get 5 then plug it in as y=3x+5

the table below shows the points scored by green bird players. what was the median number of the points scored ​

Answers

Answer: Sorry

Step-by-step explanation: What table? I would love to help you but I need to see the table you are talking about. :(

Can someone pleade help me on this question 8

Answers

It’s d because it is

32 is what percent of 110? (round to the nearest percent)

Answers

35.2 jsnshahahsjsjsjsjsjsjsjjsjsjsjsjjss

Find the area of the shaded region. Round to the nearest hundredth when necessary.

Answers

Answer: 423.11 m^2


Step by step explanation:

Area of a circle formula pi*r^2

First solve the area of the big circle

3.14*21^2=1384.74 m^2

Now find the are of the smaller circle

r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2

Now we can minus the small area off the big area to get the shaded area.

1384.74-961.63=423.11 m^2

So the area of the shaded region is 423.11 m^2

two angles of a quadrilateral are 67 and 100. what is the sum of the other two angles

Answers

Answer:

93

Step-by-step explanation:

Can someone help me pls

Answers

Answer:

Yes it is tangent because it is touching a certain point

Step-by-step explanation:

Heres a pic i found of an example and it looks exactly like that one

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The side lengths of the triangle are 5, 12, and 5+8 = 13. We can check to see if they satisfy the Pythagorean theorem, which would indicate a right triangle.

  5² + 12² = 25 +144 = 169 = 13²

These sides do satisfy the relationship between sides for a right triangle, so angle A is a right angle. That is the case when segment AB is a tangent to the circle.

  Yes, AB is a tangent.

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