Question

Brian likes to go bird watching along the Harvest Park Trail in a nearby forestpreserve. He wants to calculate the area enclosed by the trail which is shownbelow. Based on the diagram, what is the closest approximation of the area insquare yards of the land enclosed by the trail?

Answer 1

(B)138,000 square yards.

Step-by-step explanation:

To determine the area of the land enclosed by the trail, we divide the diagram into two as shown below:

Therefore, the area will be:

`\begin{gathered} \text{Area}=(800*900)+(400*1300) \\ =720,000+520,000 \\ =1,240,000\text{ square feet} \end{gathered}`

We then convert it to square yards.

`\begin{gathered} \text{9 square feet=}1\text{ square yard} \\ \text{Therefore:} \\ 1,240,000\text{ square feet}=(1,240,000)/(9)\text{ square yard} \\ \approx137777\text{ square yards} \end{gathered}`

Therefore, the closest approximation of the area in square yards is 138,000 square yards.