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A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where each unit on the graph represents one foot.
How many feet of fencing will the homeowner need to build the dog pen?
(1 point)
Responses
23+26−−√
feet
23 plus square root of 26 feet
33
feet
33 feet
38
feet
38 feet
23+109−−−√
feet
23 plus square root of 109 feet
To find out how many feet of fencing the homeowner needs, we need to add up the lengths of all four sides of the space.
From the image, we can see that two sides are 9 feet long, and the other two sides are 8 feet and 16 feet long.
Therefore, the total length of fencing needed is 2(9) + 8 + 16 = 18 + 8 + 16 = 42 feet.
Therefore, the homeowner will need 42 feet of fencing for the dog pen.