Answer:
$989.23
Step-by-step explanation:
The cost will be the product of the area in square feet and the cost per square foot.
The area of a trapezoid is given by the formula ...
... A = (1/2)(b1 +b2)h . . . . . where b1 and b2 are the base lengths, h is the height
Filling in the given information, the area is ...
... A = (1/2)(73 ft +114 ft)(46 ft) = 4301 ft²
Since each square foot costs $0.23, this number of square feet will cost ...
... (4301 ft²)×$0.23/ft² = $989.23
The landscaper will charge $989.23 to put sod on the backyard.