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In a rectangle with area 572, the length of the shortest side is 4 meters shorter than the length of the longest side. What is the perimeter of the rectangle?
A. 90
B. 92
C. 94
D. 96
E. 98
A. 90
B. 92
C. 94
D. 96
E. 98
08 Jun 2017, 17:19
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In a rectangle with area 572, the length of the shortest side is 4 meters shorter than the length of the longest side. What is the perimeter of the rectangle?
A. 90
B. 92
C. 94
D. 96
E. 98
\(A = l * w\)A. 90
B. 92
C. 94
D. 96
E. 98
\((w + 4) = l\)
\((w + 4)*(w) = 572\)
\(w^2 + 4w - 572 = 0\)
\((w + 26)(w - 22) = 0\)
w can't be negative, \(w = 22\)
\((w + 4) = l\)
\(l = 22+4 = 26\)
\(P = 2l + 2w\)
\(= 52 + 44\)
\(P = 96\)
Answer D
