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Question

In the given figure, a square is cut as shown in the first figure and rearranged to form a big square as shown in the second figure. Then find the area of the big square in the second figure.


A

128 sq.units

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B

112 sq.units

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C

100 sq.units

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D

102 sq.units

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Solution

The correct option is C

100 sq.units


In the first figure, The square is of the side = 1cm + 7cm = 8cm

Area of the first square = 8×8=64 sq.units

It is cut and rearranged to get a bigger square as shown in the second figure with a square hole in the middle

The side of the square hole in the middle = 6cm

The area of the square hole in the middle = 6×6=36 sq.units

The area of the bigger square = area of the 1st square + area of the square hole in the middle

The area of the bigger square = 64 sq.units + 36 sq.units = 100 sq.units


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