Question

The length of a rectangle is 31 m. less than 5 times the width. If the perimeter of the rectangle is 70 m., find the length and the width

Answer 1

Answer:

Length = 24m. Width= 11m

Step-by-step explanation:

Let width be x.

Given L= 5x - 31.

Perimeter = 70

Perimeter = 2(length + width).

70 = 2(5x-31+x)

70= 2(6x-31)

70= 12x -62

12x = 132

x = 132/12

x= 11.

Length = 5x - 31 = 5(11)-31 = 55-31 = 24.

Width = x = 11.