Perimeter-length and width

Question

The length of a rectangle is four times its width. If the perimeter of the rectangle is 70 in, find its length and width.

Answer 1

let length be l

let width be w

So l = 4w................(1)

Perimeter of rectangle  = 2l + 2w = 70..............(ii)

Substitute l =4w in (2)

2(4w) + 2w = 70

8w + 2w = 70

10w = 70

w= 7

 

So width is 7

 

l = 4w = 4* 7 = 28

 

So length = 28