![ABCD is a square where P, Q, R and S are the mid-points of AB, BC, CD and DA respectively](https://www.gkseries.com/blog/wp-content/uploads/2024/04/ABCD-is-a-square-where-P-Q-R-and-S-are-the-mid-points-of-AB-BC-CD-and-DA-respectively.jpg)
ABCD is a square where P, Q, R and S are the mid-points of AB, BC, CD and DA respectively, then find the area of shaded region?
![](https://www.gkseries.com/blog/wp-content/uploads/2024/04/image-177-1024x739.png)
(a) 16 cm²
(b) 24 cm²
(c) 28 cm²
(d) 32 cm²
Sol:
Area of square ABCD = 2 × (62.5 + 65.5)
= 256 cm²
Now area of ∆PQR =1/8*256
= 32 cm²