![PQR is an isosceles triangle in which PQ = QR. QD is an angle bisector of ∠PQR. MN and ZX are two perpendicular on PR where MN = ZX](https://www.gkseries.com/blog/wp-content/uploads/2024/03/PQR-is-an-isosceles-triangle-in-which-PQ-QR.-QD-is-an-angle-bisector-of-∠PQR.-MN-and-ZX-are-two-perpendicular-on-PR-where-MN-ZX.jpg)
PQR is an isosceles triangle in which PQ = QR. QD is an angle bisector of ∠PQR. MN and ZX are two perpendicular on PR where MN = ZX. If QD = 27 cm, DX = 11 cm, XR = 9 cm, then find the area of shape QMNXZ?
(a) 461.32 cm²
(b) 430.65 cm²
(c) 502.65 cm²
(d) 411.35 cm²
Sol:![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-348-863x1024.png)
![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-349-1024x276.png)