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?
Jyoti’s diagram: The given shape is splitted into two congruent trapeziums. Area of one trapezium = = = ∴ Area of the pentagonal shape = Kavita's diagram: The given shape is splitted into a square and a triangle. Area of the square = Area of the triangle = ∴ Area of the pentagonal shape = Another way of finding the area of the pentagonal shape: BY splitting the pentagonal shape into 3 triangles, we have: Area of triangle I = Area of trianlge II = Area of triangle III = ∴ Area of the pentagonal shape =