Answer: $1,775
Explanation:
We can use a proportion to estimate the cost of having a 13 ft by 18 ft brick patio installed, based on the cost of a 15 ft by 20 ft patio:
(cost of 13 ft by 18 ft patio) / (cost of 15 ft by 20 ft patio) = (area of 13 ft by 18 ft patio) / (area of 15 ft by 20 ft patio)
The area of the 13 ft by 18 ft patio is 13 x 18 = 234 sq ft, and the area of the 15 ft by 20 ft patio is 15 x 20 = 300 sq ft.
So,
(cost of 13 ft by 18 ft patio) / ($2,275) = 234 / 300
Solving for the cost of the 13 ft by 18 ft patio, we get:
cost of 13 ft by 18 ft patio = ($2,275) x (234 / 300) = $1,775.25
Rounding to the nearest dollar, the estimated cost of having a 13 ft by 18 ft brick patio installed is $1,775.