Problema Solution
The length of a rectangular garden is 4yd greater than the width. The area of the garden is 96yd^2.Find the length and the width.
Answer provided by our tutors
Width = W
Length, L = W + 4
Area, A = 96
LW = A
LW = 96
(W + 4)W = 96
W² + 4W - 96 = 0
(W + 12)(W - 8) = 0
If the product of two terms equals zero, then one or both terms equal zero.
If W + 12 = 0,
W = - 12
If W - 8 = 0,
W = 8
Feasible Domain: W > 0
Since W = - 12 is not in the feasible domain,
W = 8
and
L = 8 + 4
L = 12
The dimensions are 8 yds. x 12 yds.