Mathematics

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

120\,\text{m}^2

108\,\text{m}^2

156\,\text{m}^2