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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?

 

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Area of pentagonal park according to Jyoti's diagram :-

                       = 2(Area of trapezium)   =  2(\frac{1}{2}\times\frac{15}{2}\times45) = \frac{15\times45}{2} = 337.5 m^2

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

                      = Area of triangle + Area of square.

                     = \frac{1}{2}\times15\times15 + 15\times15 = 112.5 + 225 = 337.5 m^2

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