Question

A rectangle has a perimeter of 110 inches. The rectangle' s length is five more than twice the width.

Answer 1

Length is 38
`(1)/(3)` inches

Width is 16
`(2)/(3)` inches

Explanation:

Let the width be x inches

The length will be 2x + 5 inches

The perimeter is 110 inches

Perimeter is given by (2 × length) + (2 × width)

2(2x + 5) + 2x = 110 inches

4x + 10 + 2x = 110 inches

6x = 100 inches

x (width) = 100/6 = 16
`(2)/(3)` inches

Length = 2(100/6) + 5 = 38
`(1)/(3)` inches.