There is a pentagonal shaped park as shown in Fig. 20.50. Jyoti and Kavita divided it in two different ways.

A pentagonal park is given below:

Jyoti and Kavita divided it in two different ways.

(i) Jyoti divided is into two trapeziums as shown below:

It is clear that the park is divided in two equal trapeziums whose parallel sides are $30 \mathrm{~m}$ and $15 \mathrm{~m}$.

And, the distance between the two parallel lines: $\frac{15}{2}=7.5 \mathrm{~m}$

$\therefore$ Area of the park $=2 \times($ Area of a trapazium $)$

$=2 \times\left[\frac{1}{2} \times(30+15) \times(7.5)\right]$

$=337.5 \mathrm{~m}^{2}$

(ii) Kavita divided the park into a rectangle and a triangle, as shown in the figure.

Here, the height of the triangle $=30-15=15 \mathrm{~m}$

$\therefore$ Area of the park $=$ (Area of square with sides $15 \mathrm{~cm}$ ) $+$ (Area of triangle with base $15 \mathrm{~m}$ and altitude $15 \mathrm{~m}$ )

$=(15 \times 15)+\left(\frac{1}{2} \times 15 \times 15\right)$

$=225+112.5$

$=337.5 \mathrm{~m}^{2}$