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(1)/(4)=20\cdot(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(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}`