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?

Explanation

(i) Jyoti’s way of triangle area is as follows

Area of pentagon ABCDE=Area of trapezium ABCD+ Area of trapezium AEDF

`=1/2xx(AF+BC)xxFC+1/2xx(AF+BC)xxDF`

`=1/2xx(13m+15m)xx15/2m+1/2xx(30m+15m)xx15/2m`

`=2xx1/2(30m+15m)xx15/2`

`=45mxx7.5m`

`=337.5`

(ii) Kavitha’s way of finding area is as follows.

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