The length of a rectangle is 6 m less than three times its breadth. The
dimensions of the rectangle, if its perimeter is 148 m, are
(a) 54 m, 20 m
(b) 14 m, 40 m
(c) 54 m, 24 m
(d) 54 m, 14 m
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Answer:
(a) 54 m, 20 m
Step-by-step explanation:
Given, L= 3B - 6
Perimeter = 2(L+ B) = 148m
⇒ L + B = 148/2 = 74
∴ 3B - 6 + B = 74
⇒ 4B = 80
⇒ B = 20m
∵ L = 3B -6 ⇒ 3×20 - 6
L = 60 - 6
L = 54 m
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