Answer:
26 ft^2
Step-by-step explanation:
Let us imagine a rectangle around this figure, provided a rectangle with dimensions 5 feet by 7 feet. If we were to subtract the non - shaded region in this rectangle from the rectangle's area itself, it would save as some time to solve for the area of the shaded region;
Area of Outer Rectangle ⇒ 5 * 7 = 35 ft^2,
Now this non - shaded region is composed of a triangle and a rectangle, the triangle having dimensions 3 by 2 feet, the rectangle being 2 by 3 feet consecutively;
Area of triangle ⇒ 1/2 * base * height = 1/2 * 3 * 2 = 3 ft^2,
Area of rectangle ⇒ length * width = 2 * 3 = 6 ft^2
Thus the area of the shaded region is: 35 - 3 - 6 = 26 ft^2;
Answer: 26 ft^2
