Question

The length and width of a rectangle are in a ratio of 7:11. If the perimeter of the

rectangle is 72 cm. Find the
length and
width of the rectangle.

Answer 1

14cm and 22cm

Explanation:

Given parameters:

Perimeter of rectangle = 72cm

Ratio of length to width = 7: 11

Unknown:

Length and width of the rectangle = ?

Solution:

Since the ratio of length to width is 7: 11,

if the length is 7x , width = 11x

The perimeter of a rectangle can be obtained using

Perimeter = 2(L + W)

Insert the parameters and solve;

72 = 2(7x + 11x )

72 = 2(18x)

x =
`(72)/(36)` = 2

The length = 7x = 7x2 = 14cm

width = 11x = 11 x 2 = 22cm