Question

There is a pentagonal shaped parts as shown in the figure. For finding its area jyothi and rashida divided it in two different ways. Find the area in both ways and what do you observe?

Answer 1

Jyoti's method

The pentagon is divided into 2 trapeziums with parallel sides 30cm & 15cm and the height = 15/2

∴Area of each trapezium=1/2(30+15)x15/2

                                   =15/4 x 45

∴the area of pentagon=2 x area of each trapezium

                               =2 x 15/4 x 45=337.5sq.m

Kavitha's method

pentagon is divided into a triangle and a square

area of triangle with base 15cm and height 15cm

Area of triangle=1/2 x 15 x 15sq.m

Area of square =15 x 15

Area of pentagon =sum of the area triangle and square=1/2 x (15 x 15)+(15 x 15)

                                                                               1/2 x 225+225=337.5sq.m

Answer 2

Answer:

337.5 sqm^

Step-by-step explanation:

I hope you it is helpful