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qaws [65]
2 years ago
12

Mr. Howard's pool is connected to his pool house by a sidewalk as shown. He wants to buy sod for the

Mathematics
1 answer:
a_sh-v [17]2 years ago
6 0

Answer: he needs to buy 578.5 yard² of Sod.

Step-by-step explanation:

Assuming the lawn is square shaped, the formula for determining the area of a square is

Area = length²

If the length of each side of the lawn is 24 1/2 = 24.5 ft

Area of the lawn = 24.5² = 600.25yard²

The area of the pool house is 16yard²

The area of the side walk is

3 × 1 = 3 yard²

The length of the pool is 7 1/2 = 7.5yards

The width of the pool is 2 1/2 = 2.5 yards. Therefore,

Area of pool = 7.5 × 2.5 = 18.75 yard²

Therefore, the amount of Sod that he needs to buy is

600.25 - (3 + 18.75) = 600.25 - 21.75

= 578.5 yard²

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{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}

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{\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times  { \frac{2}{3} }^{n - 1} }

(ii) <u>here</u><u> </u><u>we</u><u> </u><u>will</u><u> </u><u>use</u><u> </u><u>the</u><u> </u><u>sum</u><u> </u><u>formula</u><u> </u><u>of</u><u> </u><u>geometric</u><u> </u><u>progression</u><u> </u><u>for</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>total</u><u> </u><u>nth</u><u> </u><u>impact</u>

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