Question

a utility runs Underground through Sharon's rectangular backyard . sharing is not allowed to dig within 3 feet of the utility line . the diagram below shows the dimensions of Sharon's back yard in feet . the dashed line represents the utility lines . What area in square feet of the part of the backyard in which Sharon's is allowed to dig?.

Answer 1

First, we need to find the part that is allowed to dig beside the digging part:

$14+3+3+x=22\Rightarrow20+x=22\Rightarrow x=22-20\Rightarrow x=2$

Then, the part besides the digging part allowed to dig is:

2ft * 17ft = 34ft^2

Then, the other area is 14ft * 17ft = 238 ft^2.

If we sum the previous results, we have:

238ft^2 + 34ft^2 = 272ft^2.

Therefore, the area in square feet allowed to dig is 272 ft^2 (F).

We need to find the rectangular at the left part of the backyard.