Question

A rectangle is 4 times as long as it is wide. The perimeter is 150cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary

Answer 1

Length 60 cm

Width 15 cm

Explanation:

Let

x ----> the length of rectangle

y----> the width of rectangle

we know that

The perimeter of rectangle is equal to

`P=2(x+y)`

we have

`P=150\ cm`

so

`150=2(x+y)`

simplify

`75=x+y` ----> equation A

`x=4y` ----> equation B

substitute equation B in equation A

`75=4y+y`

solve for y

`75=5y`

`y=15\ cm`

Find the value of x

`x=4y` ----->
`x=4(15)=60\ cm`

therefore

The dimensions of the rectangle are

Length 60 cm

Width 15 cm