how do i get the answer to this question?---**Question Stem:**
3. Find the area of the shaded portion of the figure. All angles are right angles. Dimensions are in feet.
**Geometric Figure Description:**
* Type: Geometric figure composed of two nested rectangles.
* Elements:
* An outer rectangle.
* An inner rectangle centered within the outer rectangle.
* The area between the outer and inner rectangles is shaded with diagonal lines.
* Dimensions are labeled:
* The length of the bottom side of the outer rectangle is labeled "7".
* The height of the right side of the outer rectangle is labeled "5".
* The length of the bottom side of the inner rectangle is labeled "5".
* The height of the left side of the inner rectangle is labeled "3".
**Options:**
A. 16 ft²
B. 18 ft²
C. 20 ft²
D. 22 ft²
**Answer:**
**Answer: C. 20 ft²**
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Let's solve this step by step. We have two nested rectangles where the shaded area is the space between them. The outer rectangle has dimensions 7 feet by 5 feet, and the inner rectangle has dimensions 5 feet by 3 feet.
First, let's calculate the area of the outer rectangle. The outer rectangle has a length of 7 feet and a width of 5 feet. Using the formula Area equals length times width, we get 7 times 5 equals 35 square feet.
Next, let's calculate the area of the inner rectangle. The inner rectangle has a length of 5 feet and a width of 3 feet. Using the same formula, Area equals length times width, we get 5 times 3 equals 15 square feet.
Finally, we calculate the shaded area by subtracting the inner rectangle area from the outer rectangle area. The shaded area equals 35 square feet minus 15 square feet, which equals 20 square feet. Therefore, the answer is C, 20 square feet.
To summarize, when finding the area of a shaded region between two shapes, we use the subtraction method. First, calculate the area of the outer shape. Second, calculate the area of the inner shape. Third, subtract the inner area from the outer area. In this problem, 35 minus 15 equals 20 square feet, making C the correct answer.