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 big square in the second figure is ____.

• A. 43 sq.units
• B. 34 sq.units
• C. 23 sq.units
• D. 42 sq.units

Answer 1

The correct option is B

34 sq.units

In the first figure, The square is of the side = 1 cm + 4 cm = 5 cm

Area of the first square = $5\times 5=25sq.units$

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 = 3 cm

The area of the square hole in the middle = $3\times 3=9sq.units$

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

$\therefore$ The area of the bigger square = 25 sq.units + 9 sq.units = 34 sq.units