e) The ratio of the breadth of a parallelogram to its length is 2:3. If its perimeter is 120cm, find dimensions of a parallelogram.
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Let the common multiple be x.
and breadth = 2x
then length (l)= 3x
We know that perimeter = 2(l+b)
120 = 2(2x+3x)
120 = 4x + 6x
120 = 10x
120/10 = x
12 = x
therefore, x = 12
breadth = 2x = 2×12 =24
length = 3x = 3×12 = 36
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