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  • 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?

Q.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.

Find the area of this park using both ways. Can you suggest some other way of finding its area?

 

Answers (1)

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Area of Pentagonal Park according to Jyoti's diagram:-

$2(\textrm{Area of trapezium}) = 2\left(\frac{1}{2} \times \frac{15}{2} \times 45\right)=\frac{15 \times 45}{2}=337.5 \mathrm{~m}^2$

Area of the pentagonal park according to Kavita's diagram:- 

$\textrm{Area of triangle} + \textrm{Area of square} =\frac{1}{2} \times 15 \times 15+15 \times 15=112.5+225=337.5 \mathrm{~m}^2$

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Devendra Khairwa

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