Question

A rectangular vegetable garden will have a width that is 4 feet less than the length and an area of 140 square feet. If x represents the length, then the length can be found by solving the equation: x(x-4)= 140 What is the length, x, of the garden? The length is feet. The solution is​

Answer 1

14 ft

Explanation:

Let x = length

Width = x - 4

area = length × width

140 = x(x - 4)

x² - 4x - 140 = 0

(x - 14)(x + 10) = 0

x - 14 = 0 or x + 10 = 0

x = 14 or x = -10

x = length = 14

width = x - 4 = 10

Answer: 14 ft