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.
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