Question

A playground is constructed with the dimensions and shapes shown below

Answer 1

check the picture below.

so the playground is really just 3 rectangles and one triangle, now the triangle has a base of 8 and a height of 6.  We can simply get the area of each figure, sum them up and that's the area of the playground.

$\bf \stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(8)(6)}~~+~~\stackrel{\textit{rectangle}}{(8\cdot 8)}~~+~~\stackrel{\textit{rectangle}}{(6\cdot 6)}~~+~~\stackrel{\textit{rectangle}}{(9\cdot 4)} \\\\\\ 24+64+36+36\implies 160$