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21 October, 09:42

The area of a rectangle is 20 cm² after its dimensions were doubled. What is the area of the original parallelogram?

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  1. 21 October, 10:06
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    If the original length and breadth of the rectangle/parallelogram was L and B respectively, then

    Original Area = L*B

    Once the dimensions are doubled, the length and breadth are now 2L and 2B respectively, so

    New Area = 2L*2B = 4LB

    New Area/Original Area = 4LB/LB = 4.

    So, the new area is 4 times bigger. Therefore the original area is one fourth of 20cm², which is 5cm².
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