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Question:

There is a pentagonal shaped park as shown in figure. For finding its area Jyoti and Kavita divided it into two different ways. Find the area of the park using both ways.

Solution:

→Jyoti's way
Area of pentagon=2×1/2×(sum of parallel sides)×(Distance between them)
Area of pentagon=2×1/2×(15+30)×15
2=337.5 sq. metre
→Kavita's way
Area of pentagon=Area of triangle+Area of rectangle
Area of pentagon=(1/2×15×15)+(15×15)=337.5 sq. metre