134k views
3 votes
The perimeter of a rectangle is 24. If the length is 5 times the width, what is the area?

User Pegah
by
6.0k points

1 Answer

5 votes

Answer: Area is 20

Explanation:

Perimeter of a rectangle is 24

Let the length be x

Let the breadth be Y

Length is 5times the breadth

I.e

X=5y

Formula for perimeter of a rectangle is

2(length + breadth)

= 2(x+y)

Substitute for x=5y

2(5y+y)=24

2(6y)=24

6y=24/2

6y=12

Y=12/6

Y=2

Breadth = 2

Since length =5y

Length=5(2)

Length = 10

Area of a rectangle = length × breadth

Area= 10×2

Area = 20

Area of the rectangle is 20

User ManBugra
by
6.1k points