Question

The area behind the house is care dirt, so the owners purchase sod to cover the area inside the picket fence. Find the number of square feet of sod which must be purchased to the nearest square foot. Note the fire ring is brick, the patio is cement, don't put the sod on them. The fire ring measures 10 feet across the center, what is the circumference? the patio is 16 ft x 24 ft. the picket fence reads 45 ft, 45 ft 18 ft,18 feet

Answer 1

(2316 - pi * (r ^ 2))

Step-by-step explanation:

We have the following data:

L = 45 feet

W = 18 + 18 + 24 = 60 feet

Now we calculate the rectangular area:

A = Total area of PF = 45 * 60 = 2700 ft ^ 2

P = patio dimensions = 16 * 24

= 384 ft ^ 2

We will assume it as 'r'

FR Area = pi * (r ^ 2)

AT = A - P - FR

AT = 2700-384 - pi * (r ^ 2) =

AT = (2316 - pi * (r ^ 2))

Therefore, the number of square feet of grass to be purchased is 2316 - pi * (r ^ 2) where r is the radius of the FR.