There is a pnetagonal shaped park …

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There is a pnetagonal shaped park as shown in the figure . For finding its area Jyoti and Kavita divided it in two different ways

Posted by Bheemudu Chowdam 2 years, 1 month ago

Entrance Exam > JNVST (Class-9) > Mathematics

4 answers

Preeti Dabral 2 years, 1 month ago

Jyoti's diagram
Area of the park $= 2 \times \left[ {\frac{{(15 + 30)}}{2} \times \frac{{15}}{2}} \right]$
$= \frac{{675}}{2}$
= 337.5 m²
Kavita's diagram
Area of the park = 15 $\times$ 15 m² + $\frac{{15 \times (30 - 15)}}{2}$ m²
= 225 m² + $\frac{{225}}{2}$ m²
= 225 m² + 112.5 m²
= 337.5 m²
Another way of finding the area

Area of the park $= \frac{{15 \times (30 - 15)}}{2}{m^2} +2 \times \left[ {\frac{{15 \times 15}}{2}} \right]{m^2}$
= 112.5 m²+ 225 m²
= 337.5 m²