The length of a rectangle is 9.7cm more than 4 times the width. If the perimeter is 91.4cm, what are it's dimensions?

Solution:

Given,

Let us assume the width of the rectangle = x.

Then, the length of the rectangle = 4x + 9.7cm

Perimeter of the rectangle = 91.4 cm

Then,

91.4 = 2[x + 4x + 9.7]

91.4 = 2[5x + 9.7]

91.4 = 10x + 19.4

91.4 - 19.4 = 10x

10x = 72

x = 7.2cm

Width of the rectangle = 7.2cm

Length of the rectangle = 38.5cm

Therefore, the dimensions are 7.2 × 38.5 cm

The length of a rectangle is 9.7cm more than 4 times the width. If the perimeter is 91.4cm, what are it's dimensions?

Summary:

The length of a rectangle is 9.7cm, more than 4 times the width. If the perimeter is 91.4cm, the dimensions are 7.2 × 38.5 cm