Question

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?
Can someone please explain.

Answer 1

Let us assume the width of the rectangle = x
Then Length of the rectangle = 4x + 9.7
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 = 7.2
So
Width of the rectangle = 7.2 cm
Length of the rectangle = 4x + 9.7
                                      = 28.8 + 9.7
                                      = 38.5 cm