There is a pentagonal shaped park as shown in the figure. For finding its area Jyoti and Kavita divided it in two different ways. Find the area of this park using both ways. Can you suggest some other way of finding its area?

Question

Philoid · Accepted Answer

By Jyoti’s diagram,

Area of pentagon = Area of trapezium ABCP + Area of trapezium AEDP

= 1/2 (AP + BC) x CP + 1/2 (ED + AP) x DP = 1/2 (30 + 15 ) x CP + 1/2 (15 + 30) x DP

= 1/2 (30 + 15) (CP + DP)

= 1/2 x 45 x CD

= 1/2 x 45 x 15

=337.5 m²