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2. Bill is building a rectangular deck that will be 8 feet wide and 15 feet long. Tyrone ishelping Bill with the deck. Tyrone has two boards, one that is 8 feet long and one theis 7 feet long. He puts the two boards together, end to end, and lays them on thediagonal of the deck area, where they just fit. What should he tell Bill?

Answer :

First, we find the diagonal with Bill's measurements. To do that, we apply Pythagorean's Theorem to the below

[tex]h^2=8^2+15^2\rightarrow h=\sqrt{64+225}=\sqrt{289}=17[/tex]

This means, if Bill want to do a rectangular deck with dimensions 15 by 8, he should have a diagonal of 17.

On the other hand, Tyrone noticed that a 15 feet diagonal is enough, which means Bill had wrong the dimensions of the rectangular deck he wants.

Therefore, Tyrone should tell Bill that he did a mistake with the measures.

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