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Hints # 2 - Subtract the area of the small rectangle and the area of the triangle from the area of the large rectangle.

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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;

26 ft^2

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign