Problema Solution
a student environmental group wants to build an ecology garden in a rectangular shape. the area of the garden needs to be 800 square feet to accommodate all the species of plants the group wants to grow. a construction company has donated 120 feet of iron fencing to enclose the garden. what should the dimensions of the garden be?
Answer provided by our tutors
let
w = the width of the rectangle, w>0
l = the length of the rectangle, l>0
the area of the garden needs to be 800 square feet:
l*w = 800
a construction company has donated 120 feet of iron fencing to enclose the garden:
2(l + w) = 120 divide both sides by 2
l + w = 60
l = 60 - w
plug l = 60 - w into l*w = 800
(60 - w)*w = 800
by solving we find:
w = 20 ft
click here to see the step by step solution of the equation:
l = 60 - 20
l = 40 ft
the dimensions of the garden are: 40 ft and 20 ft.