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 the area of each quadrilateral pieces is ____.

• A. 12 sq.units
• B. 11 sq.units
• C. 16 sq.units
• D. 10 sq.units

Answer 1

The correct option is C

16 sq.units

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

Area of the first square = $8\times 8=64sq.units$

It is cut and rearranged to get a bigger square as shown in the second figure with a square hole in the middle. The square is cut into four quadrilaterals of equal area.

$\therefore$ area of each quadrilateral = $\frac{64}{4}=16sq.units$