Question

the breadth of a rectangle is 3/4 of its length. the area of the rectagnle is 192 s meter sq. its perimeter is

Answer 1

b=3l/4

lb=192

3l²/4=192

3l²=768

l²=768/3

l=√256=16

b=3*16/4=12

perimeter=2(l+b)

=2(28)

=56

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Answer 2

let length be X
then breadth= 3x/4
area of rectangle = length X breadth
192meter.sq = X*3x/4
= 3x²/4
192* 4= 3x²
768=3x²
768/3= x²
156= x²
√256=√x²
16= X
therefore length = x = 16,
breadth=3x/4= 16*3/4
= 48/4
= 12
perimeter= 2( length+ breadth)
= 2(16+12)
= 2(28)
= 56.
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