Question

Find the area of pentagonal-shaped field given below.

Answer 1

Area of the triangle $=\frac{1}{2}\times b\times h$
$=\frac{1}{2}\times 15\times (30-15)$
$=\frac{1}{2}\times 15\times 15$
$=\frac{225}{2}$ cm${}^2$

Area of the rectangle $=l\times b=15\times 15=225$ cm${}^2$

Area of the polygon = Area of the triangle + Area of the rectangle
$=\frac{225}{2}+225$
$=\frac{450+225}{2}$
$=\frac{675}{2}$ cm${}^2$