Question

Brian likes to go bird watching along the Harvest Park Trail in a nearby forest preserve. He wants to calculate the area enclosed by the trail which is shown below. Based on the diagram, what is the closest approximation of the area in square yards of the land enclosed by the trail

Answer 1

The question has missing details

The missing options are:

A. 188,000 square yards

B. 138,000 square yards

C. 600 square yards

D. 300 square yards

See attachment 1 for the missing diagram

Answer:

B. 138,000 square yards

Explanation:

The figure can be divided into two shapes (see attachment 2)

From attachment 2,

The dimension of the big rectangle is 1300ft by 800ft

The dimension of the small rectangle is 500ft by 400ft

So, the area is:

Area of the big rectangle added to the area of the small rectangle

i.e.

`Area = 1300 * 800 + 500 * 400`

`Area = 1040000 + 200000`

`Area = 1240000ft^2`

Convert to
`yd^2` by dividing by 9

`Area = 1240000yd^2 /9`

`Area = 137777.777778\ yd^2`

From the list of given options, the closest to the area of the diagram is

B. 138,000 square yards