Problema Solution
For security reasons, a company will enclose a rectangular area of 11,200 ft2 in the rear of its plant.
One side will be bounded by the building and the other three sides by fencing. If 300 ft of fencing
will be used, what will be the dimensions of the rectangular area? Round to the nearest hundredth.
(HINT: If the perimeter is 300, and the width is w, how would you write the length in terms of w?)
Answer provided by our tutors
we will assume that the bounded side is along the length of the rectangular area
If the perimeter is 300, and the width is w, how would you write the length in terms of w?
the length is l = 300 - 2w (since the perimeter = 2w + l)
the area is 11,200 ft^2 and the formula for the area is length*width
l*w = 11200
plug l = 300 - 2w into the last equation
(300 - 2w)*w = 11200
by solving we find 2 solutions
w1 = 70 ft
w2 = 80 ft
click here to see the step by step solution of the equation
for w1 = 70 ft the length is 300 - 2*70 = 160 ft
for w2 = 80 ft the length is 300 - 2*80 = 140 ft