Question

A pentagon is divided in two different ways by Aditya and Noni as shown in the figure. Find the area
of this pentagon using both ways.
36 cm
18 cm
18 cm
18 cm
Aditya's diagram
Noni's diagram​

Answer 1

Step-by-step explanation:

noni 's diagram

find the area of first trapezium that is 1/2*h*(a+b)

we need to multiply it by 2 because they are two trapezium

1/2*h*(a+b)*2

1/2*9*(36+18)*2

=486

aditya 's diagram

first find the area of triangle 1/2*b*h

1/2*18*18

=162

area of square

s*s

18*18

=324

area of aditya diagram =162+324

=486

hence both methods are correct