whats the length and width?

Question

The length of a rectangle is

77

ft longer than twice the width. If the perimeter is

9292

​ft, find the length and width of the rectangle.

Answer 1

Let x = width

2x+77 = length

Perimeter = width + width + length + length (all the sides added together) Plug in values

9292 = x+x+2x+77+2x+77 Combine like terms

9292 = 6x+154 Subtract 154 from both sides

9292-154 = 6x+154-154 Simplify

9138=6x Divide both sides by 6

9138/6=6x/6 Simplify

x=1523

2x+77 = length

2(1523)+77 = 3123

The width of the rectangle is 1523 ft and the length is 3123 ft.