Question

A garden is salted in the shaded portion below how many square feet were covered with sod?

Answer 1

We have a garden:

The whole rectangle has an area of:

$A_T=20\cdot9\frac{1}{4}=20\cdot\frac{37}{4}=185ft^2$

To find the shaded area, we need to subtract the areas of the not-shaded triangles. The total not-shaded area is:

$A_{NS}=2\cdot\frac{6\cdot6}{2}=36ft^2$

Finally, the shaded area can be calculated using the equation:

$A_S=A_T-A_{NS}_{}$

Using the previous results:

$\begin{gathered} A_S=185ft^2-36ft^2 \\ A_S=149ft^2 \end{gathered}$