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Question

What is the area of the shaded region in the figure, given that the side of square ABCD is 9 m and the side of square PQRS is 10 m?


A

19 m2

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B

20 m2

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C

10 m2

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D

25 m2

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Solution

The correct option is A

19 m2



Area of the shaded region = Area of square PQRS - Area of square ABCD

Area of a square of side length 'a' is a2.

Given, side length of square ABCD = 9 m

side length of square PQRS = 10 m

Area of square PQRS = PQ2 =102=100 m2

Area of square ABCD = AB2 =92=81 m2

Area of the shaded region = 10081=19 m2


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