Question

The length of a rectangular vegetable bed is 3 feet more than twice the width. The length of the fence around the bed is 36 feet. Find the length and with.

a) If the width of the rectangle is x, the equation is_.

b) The width of the vegetable bed is __, the length is __

Answer 1

b) The width of the vegetable bed is 2x__, the length is 2x+3__

Answer 2

width = 5 feet

length = 13 feet

Explanation:

length of a rectangular vegetable bed is 3 feet more than twice the width

l = 2x + 3

length of the fence around the bed is 36 feet

p = 2(l + x)

36 = 2(l + x)

18 = l + x

Substitute for l

18 = (2x + 3) + x

18 = 3x + 3

15 = 3x

x = 5

l = 2(5) + 3 = 13