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A rectangle has a perimeter of 24m. If its area is to be ...

A rectangle has a perimeter of 24m. If its area is to be maximum, find its dimension.

A.

12, 12

B.

6, 6

C.

4, 8

D.

9, 3

Correct answer is B

Perimeter=2(l+b)=24

l+b=12l=12b

Area=(12b)×b=12bb2

dAdb=122b=0 (at maximum)

2b=12b=6

l=126=6m