7.1.PS-20 Question Help A swimming pool is shaped like a square. The distance between each of the pool's corners is 20 feet. A pool cover with dimensions of 15 feet by 30 feet is used to protect the pool during the winter season. Will the cover protect the entire pool? Explain. Select the correct choice below. O A. No, because the pool cover is not as wide as the pool. O B. Yes, because the area of the pool cover is greater than the area of the pool. O C. No, because the pool cover is longer than the pool.

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03-11-2022
Mathematics

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7.1.PS-20 Question Help A swimming pool is shaped like a square. The distance between each of the pool's corners is 20 feet. A pool cover with dimensions of 15 feet by 30 feet is used to protect the pool during the winter season. Will the cover protect the entire pool? Explain. Select the correct choice below. O A. No, because the pool cover is not as wide as the pool. O B. Yes, because the area of the pool cover is greater than the area of the pool. O C. No, because the pool cover is longer than the pool.

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KlaK628323 KlaK628323 · Answer 1 · 2022-11-03T00:43:15-04:00

KlaK628323 KlaK628323

03-11-2022

We have the following figure:

we have that the cover has dimensions of 15 feet by 30 feet, then the area that can cover is the following:

[tex]A_c=15\cdot30=450ft^2[/tex]

while the area of the pool is the following:

[tex]A_p=(20)(20)=400ft^2[/tex]

clearly we have that the area of the pool cover is greater than the area of the pool, therefore, the cover will protect the entire pool (option B)

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