A square of side x is taken. A rectangle is cut out from this square such that one side of the rectangle is half that of the square and the other is 13 the first side of the rectangle. What is the area of the remaining portion?
A
34x2
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B
78x2
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C
1112x2
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D
1516x2
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Solution
The correct option is C1112x2 Each side of the square = x m ⇒ Area of the rectangle =x2m and Other side of the square = 13×x2m=x6m ∴ Area of the rectangle = x2m×x6m =x212m2 =11x212m2