The width of a rectangle 4 meters less than it's length. The area of the rectangle is 96 square meters. Find the length of the rectangle.
A. 6
B. 8
C. 10
D. 12
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Answer:
D. 12
Step-by-step explanation:
Let
l = length
w = width
where:
w = l - 4
A = 96 sq. m.
Solution:
A = l × w
96 = l × (l - 4)
96 = l^2 - 4l
0 = l^2 - 4l - 96
0 = (l - 12) × (l + 8)
l = 12 - use the positive value
l = -8
l = 12 m