Question

the figure
10. There is a pentagonal shaped park as shown in the figure.
For finding its area Jyoti and Kavita divided it in two different ways.
T
15 m
15 m
T 30 m
I.
15 m-
Joyti's diagram Kavita's diagram
Find the area of this park using both ways. Can you suggest some other way
of finding its area?​

Answer 1

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

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

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

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

= 1/2 x 45 x CD

=

1

2

× 45 × 15

= 337.5 m^2

The area of the pentagon is 337.5 m^2