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?

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

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two