What is the length of the rectangle, which has the area of 216 meter and the ratio of the perimeter and breadth is 5?
Option:
A. 12 meter
B. 18 meter
C. 24 meter
D. 36 meter
Answer: B . 18 meter
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Justification:
The length of the rectangle is = L.
The breadth of the rectangle is = B.
The area of the rectangle is = A.
The perimeter of the rectangle is = P.
P = 2L + 2B.
P / B = 5 => (2L + 2B)/B = 5 => 2L + 2B = 5B => 2L = 3B => L = (3 / 2) * B.
A = L * B = 216 => 3 * B * B / 2 = 216 => B*B = 216 * 2 / 3 => B*B = 144 => B = 12 meter.
L = (3/2) * B => (3/2) * 12 => L = 18 meter.
