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.

14cm and 22cm

Step-by-step 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  =  = 2

The length = 7x  = 7x2 = 14cm

        width  = 11x = 11 x 2 = 22cm

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