Question

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 ratio of this park using both ways in m${}^2$

Answer 1

Formula:

Area of trapezium $=\frac{a+b}{2}\times height$

Here $a=15$ and $b=30$....given

Area using jyoti's way $=2\times \left(AreaOfTrapezium\right)=2\times \frac{1}{2}\times \frac{15}{2}\times (30+15)=337.5m^2$

Area using kavita's way$=(AreaOfTriangle+AreaOfRectangle)=\frac{1}{2}\times 15\times 15+15\times 15=337.5m^2$

$ratio=\frac{337.5}{337.5}=1$