Mr. Howard's pool is connected to his pool house by a sidewalk as shown. He wants to buy sod for the
lawn, shown in gray. How much sod does he need to buy? ​

Mr Howards pool is connected to his pool house by a sidewalk as shown He wants to buy sod for thelawn shown in gray How much sod does he need to buy class=

Respuesta :

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