Ncert solutions

Ncert solutions

Grade 8

Mensuration | Exercise 11.2

Question 10

Q10. 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?

Ans 10. Let the pentagon be ABCDE

Jyoti's way of finding area:-

Area of pentagon=2\times area\ of\ trapezium\ ABCF

=2\times\ \frac{1}{2}\times\left(BC\times AF\right)\times CF

=\left(15+30\right)\times\frac{15}{2}

=337.5\ m^2

Kavita's way of findng area:-

Area of pentagon=area of triangle ABE+Area of EBCD

=\frac{1}{2}\times\left(EB\times AF\right)+\left(BC+CD\right)

\frac{1}{2}\times\left(15\times15\right)+\left(15\times15\right)

=337.5\ m^2

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subject-cta

Question 10

Q10. 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?

Ans 10. Let the pentagon be ABCDE

Jyoti's way of finding area:-

Area of pentagon=2\times area\ of\ trapezium\ ABCF

=2\times\ \frac{1}{2}\times\left(BC\times AF\right)\times CF

=\left(15+30\right)\times\frac{15}{2}

=337.5\ m^2

Kavita's way of findng area:-

Area of pentagon=area of triangle ABE+Area of EBCD

=\frac{1}{2}\times\left(EB\times AF\right)+\left(BC+CD\right)

\frac{1}{2}\times\left(15\times15\right)+\left(15\times15\right)

=337.5\ m^2

Still have questions? Our expert teachers can help you out

Book a free class now

Want to top your mathematics exam ?

Learn from an expert tutor.

Book a free class now
subject-cta
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