A playground is designed by joining an isosceles triangular patch to one side of a…

MATHEMATICS · Single correct · CBSE · Mathematics · Heron's Formula · Heron's Formula

Problem

A playground is designed by joining an isosceles triangular patch to one side of a parallelogram. The parallelogram has base

12\,\text{m}

and height

5\,\text{m}

. The triangular patch has sides

10\,\text{m},\;10\,\text{m},\;12\,\text{m}

, its

12\,\text{m}

side coinciding with the base of the parallelogram. What is the total area of the playground? (a)

96\,\text{m}^2

(b)

120\,\text{m}^2

(c)

108\,\text{m}^2

(d)

156\,\text{m}^2