Problem

(2) 4. Peter is decorating his family room. One wall is $18 \mathrm{ft}$ long, with a height of $10 \mathrm{ft}$. At the midpoint of that wall, he plans to hang a piece of art. Find where he should place the wall anchor to hang the art, assuming the anchor will be located in the midpoint of the piece.
distance from ceiling:
distance from side wall:

Answer

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Answer

\(\boxed{\text{Final Answer: To hang the art at the midpoint of the wall, Peter should place the wall anchor 9 feet from the side wall and 5 feet from the ceiling.}}\)

Steps

Step 1 :Let the wall length be \(l = 18\) ft and the wall height be \(h = 10\) ft.

Step 2 :Find the horizontal midpoint: \(\frac{l}{2} = \frac{18}{2} = 9\) ft.

Step 3 :Find the vertical midpoint: \(\frac{h}{2} = \frac{10}{2} = 5\) ft.

Step 4 :\(\boxed{\text{Final Answer: To hang the art at the midpoint of the wall, Peter should place the wall anchor 9 feet from the side wall and 5 feet from the ceiling.}}\)

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