Answer:
220.5 square feet
Step-by-step explanation:
You want to know the area of an irregular shape.
Composition
The figure can be decomposed into a triangle and a trapezoid by extending the vertical line through the figure.
Triangle
The triangle has side lengths 15 ft and 15 ft, so its area is ...
A = 1/2bh
A = 1/2(15 f)(15 ft) = 112.5 ft²
Trapezoid
The trapezoid has bases of 25 ft and 29 ft, and a height of 4 ft, so its area is ...
A = 1/2(b1 +b2)h
A = 1/2(25 ft +29 ft)(4 ft) = 108 ft²
Lawn
The area of the grass will be the total of these areas:
grass area = triangle area + trapezoid area
grass area = 112.5 ft² +108 ft² = 220.5 ft²
The area of the grass is 220.5 square feet.
