Question

The length of a rectangle is five inches more than four times the width. The perimeter is 100 inches. Find

the length and width.

Answer 1

the length is 41 inches, the width is 9 inches

Explanation:

let "x" represent the width

if "x" represents the width, then "4x+5" represents the length

perimeter of a rectangle = 2(length+width)

100 = 2(4x+5+x)

100 = 2(5x+5)

100= 10x +5

10x = 100 - 5

10x = 90

x = 9

width is 9 inches, but you still need to solve for length

length = 4x+5"

4(9)+5=41

CHECK:

2(length+width) = 100

2(41+9) = 100

100=100