Problema Solution
The length of a vegateble garden is 9 feet longer than its width. If the area is 70 square feet, find its dimensions
Answer provided by our tutors
let
l = the length, l>0
w = the width, w>0
we will assume that the garden is rectangular
the length of a vegetable garden is 9 feet longer than its width
l = 9 + w
the area is 70 square feet and the formula for area is A = l*w
l*w = 70
plug l = 9 + w into l*w = 70
(9+w)*w = 70
by solving the quadratic equations we find
w = 5 ft
click here to see the step by step solution of th quadratic equation
l = 9 + 5
l = 14 ft
the dimensions of the garden are 5 ft and 14 ft.