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 the small square(hole) in the second figure is ____.

• A. $\text{4 sq.units}$
• B. $\text{2 sq.units}$
• C. $\text{16 sq.units}$
• D. $\text{9 sq.units}$

Answer 1

The correct option is A

$\text{4 sq.units}$

The square in the first figure is cut into 4 pieces with 3 cm and 5 cm as the measures.

When these pieces are rearranged as shown in the second figure, they create a square hole in the middle.

The side of the square = 5 cm - 3 cm = 2 cm

$\therefore$ The area of the small square is = $2\times 2=4sq.units$