A rectangle has a perimeter of 52 cm and an area of 144 square cm. Find its length and width if they are in whole numbers.

Answers

Answer 1
Answer:

The length of the rectangle will be 18 cm.

The width of the rectangle will be 28 cm.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The perimeter of rectangle = 52 cm

An Area of a rectangle = 144 cm²

Let the length of the rectangle = l

The width of the rectangle = b

So, We get;

⇒ 2 (l + b) = 52

⇒ l + b = 26  ..(i)

And, l x b = 144   ..(ii)

Since, (l - b)² = (l + b)² - 4lb

                   = (26)² - 4 × 144

                   = 676 - 576

                   = 100

⇒ l - b = √100

⇒ l - b = 10  ..(iii)

Solve equation (i) and (iii), we get;

⇒ l = 18 cm

⇒ b = 28 cm

Thus, The length of the rectangle will be 18 cm.

The width of the rectangle will be 28 cm.

Learn more about the rectangle visit:

brainly.com/question/25292087

#SPJ2

Answer 2
Answer: 8 and 18:
8+8+18+18= 52
8*18 = 144

Tada!

Related Questions

BRAINLIEST IF CORRECT PLEASE USE WORK!What is the x-intercept of the line with this equation 1/3x+y=−15 ?Enter your answer in the box.
Please help I need by tomorrow
A rectangular card has an area of 120 over 1\4 square inches. The card is 6 over 1\2 inches wide. How long is the card???? if u need me to display answers A., B., C, D send me a message or comment. thank ya!
Use X for the Variable. The sum of five times a number and 24 is seventy-nine.​
A track is 200 meters long. How many times must Julius run around the track to run 3 kilometers ?

The three paths intersect in pairs at the points A, B, and C. Measure and record the angle formed at each intersection. Also measure and record the lengths of the straight paths, or sides. Capture the image, and paste or insert it in the space below.

Answers

The dimensions of length can be measured using a ruler, and the angle measurement can be made with the use of a protractor

The dimensions (calculated) of the figure are:

Angles formed at each intersection;

Angle A is approximately 97.125°

Angle B is approximately  53.6°

Angle C is approximately  26.6°

Lengths of the straight sides;

Side AB is approximately  3.6

Side BC is 8

Side AC is approximately  6.7

Please find attached the screen grab of the image

The reason the above values are correct is as follows:

Question: The coordinates of the points A, B, and C, obtained from a similar question online are; A(3, 4), B(1, 1), and C(9, 1)

Please find attached the diagram of the tree paths that intersect  at the points A, B, and C

The required parameter:

To measure and record the angle formed at each intersection

The angles can be measured using a protractor, however, by calculation, we have;

The length of AB = √((3 - 1)² + (4 - 1)²) = √13 ≈ 3.6

The length of BC = √((9 - 1)² + (1 - 1)²) = 8

The length of AC = √((9 - 3)² + (1 - 4)²) = √45 = 3·√5 ≈ 6.7

By cosine rule, we have;

cos(A) = (8^2 - \left( \left(√(13) \right)^2 + 3 \cdot \left(√(5) \right)^2  \right))/(-2 * √(13) * 3 \cdot \left(√(5) \right) ) = (-√(65) )/(65)

A = arcos\left( (-√(65) )/(65) \right) \approx 97.125 ^(\circ)

cos(B) = ( \left(3 \cdot \left(√(5) \right)\right)^2 - \left( \left(√(13) \right)^2 +8^2  \right))/(-2 * √(13) *8 \right) )

B = arcos\left((2 * \left(-√(65) \right))/(65)  \right) \approx 56.3

cos(C) = ( 13 - \left( \left(3 \cdot√(5) \right)^2 +8^2  \right))/(-2 * 3 \cdot √(5)  * 8 \right) ) = 2 *(√(5) )/(5)

C=arcos \left( 2 *(√(5) )/(5)\right) \approx26.6^(\circ)

Therefore, the angles formed at each intersection are;

Angle A ≈ 97.125°

Angle B ≈ 53.6°

Angle C ≈ 26.6°

The lengths of the straight side are;

Side AB ≈ 3.6

Side BC = 8

Side AC ≈ 6.7

Please find attached the image of the triangle ABC created with MS Excel

Learn more about finding the dimensions of triangle given the coordinates here:

brainly.com/question/13937524

This tree diagram shows the possible outcomes for tossing a nickel and tossing a penny. What is the probability of both coins landing tails up

Answers

Answer:

The possibility is 1/4, with 1 representingboth coins tails up, and the 4 representing all the outcomes possible.

Step-by-step explanation:


Answer:

25%

Step-by-step explanation:

go away trumpducks!


1). Write 658.129 in expanded form 2). Write <,>,or = to make the statement true 2929.87 ? 2929.087. 3). Round 8.61 to the nearest tenth 4). 521.09-148.75= PLEASE HELP???????????????

Answers

1.  600 +50 +8 + 0.1+ 0.02+ 0.009
2. >  
3. 8.60   
4. 521.09 - 148.75 its = 372.34

Please thank me on my profile or comment if I helped! Or please help me back and answer my current pending Science question!

Take Care,
Zach1
IDK BECAUSE THIS IS HARD STUFF

Simplest form of 4/8

Answers

Since 4 is half of the number 8, the simplest form of that would be 1/2
~1/2 is the same as 4/8
1/2, 4 is half of 8 so it is 1/2

How does the value of the digit 4 in 3.546 compare to the value of the digit 4 in 4.23​

Answers

Answer:

I think it's C

Step-by-step explanation:

In 3.546 it's in the hundredths place therefore it's one-hundredth the value because that's how far it is from the 4 in 4.23.

Answer:

The first one is for the 4 is 0.040 and the second one is 4.00

Step-by-step explanation:

PLEASE HELP :( .... PLEASE

Answers

You have 2 triangles and 3 rectangles. 
Start with a triangle:
area is base side * height / 2 ->  4 * 3 / 2 = 6
The other triangle has the same area: 6

First rectangle: side * other side -> 7 * 5 = 35
Second rectangle: 7 * 4 = 28
Third rectangle: 7 * 3 = 21

Now simply add all this together: 6+6+35+28+21 = 96