Area 7

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Problem: The length and the breadth of a square are increased by 40% and 30% respectively.
What is the percentage increase in the area of the resulting rectangle?

Solution: Let the length of the square be x meters.

After increase by 40%, length becomes 140x/100 m

After increase by 40%, breadth becomes 130x/100 m

∴ Area after change = 140/100x X 130/100x

= 182/100 x2 m2

Original area = 1 x2 m2

∴ Increase in area = 82/100 x2 m2

Percentage increase = 82/100 x2 X 1/ x2×100 = 82%

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