Question

What is the area of the shaded region in the figure, given that the side of square ABCD is 8 m and the side of square PQRS is 10 m?

• A. $36m^2$
• B. $51m^2$
• C. $19m^2$
• D. $25m^2$

Answer 1

The correct option is A

$36m^2$

Area of the shaded region = Area of square PQRS - Area of square ABCD

Area of a square of side length 'a' is $a^2$.

Given, side length of square ABCD = 8 m
Side length of square PQRS = 10 m

Area of square PQRS = $P{Q}^2$ $={10}^2$$=100m^2$
Area of square ABCD = $A{B}^2$ $=8^2$$=64m^2$

$\therefore$ Area of the shaded region = $100-64=36m^2$