SOLUTION: The area of rectangle is 48cm^2,find perimeter if length is 3 times the breadth?

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Question 952729: The area of rectangle is 48cm^2,find perimeter if length is 3 times the breadth?
Answer by MathLover1(20850) About Me  (Show Source):
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given:
The area of rectangle is A=48cm%5E2,
the length L is 3 times the breadth W: =>L=3W
find perimeter P:
use A=48cm%5E2 to find W
L%2AW=48cm%5E2........substitute 3W for L
3W%2AW=48cm%5E2
3W%5E2=48cm%5E2
W%5E2=48cm%5E2%2F3
W%5E2=16cm%5E2
W=sqrt%2816cm%5E2%29
highlight%28W=4cm%29
then, find L
L=3W =>L=3%2A4cm =>highlight%28L=12cm%29
P=2%28L%2BW%29...substitute 12cm for L and 4cm for W
P=2%2812cm%2B4cm%29
P=2%2816cm%29
highlight%28P=32cm%29