What is the area of the shaded region?
Understand the Problem
The question is asking for the area of a shaded triangle with given base and height measurements. To find the area of a triangle, we will utilize the formula: Area = 0.5 × base × height.
Answer
The area of the shaded region is $96.25$ square feet.
Answer for screen readers
The area of the shaded region is $96.25$ square feet.
Steps to Solve
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Identify the base and height of the triangle The base of the triangle is $17.5$ ft and the height is $11$ ft.
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Use the area formula for a triangle To find the area of a triangle, use the formula: $$ \text{Area} = 0.5 \times \text{base} \times \text{height} $$
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Substitute the values into the formula Substituting the base and height into the formula: $$ \text{Area} = 0.5 \times 17.5 \times 11 $$
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Calculate the area Now perform the multiplication: $$ \text{Area} = 0.5 \times 17.5 \times 11 = 0.5 \times 192.5 = 96.25 $$
The area of the shaded region is $96.25$ square feet.
More Information
This triangle's area calculation demonstrates the basic concept of determining the space within a shape using dimensions. The formula for the area of a triangle is derived from the geometric principles of shapes.
Tips
One common mistake is forgetting to multiply by $0.5$. Always remember that the area of a triangle is half the product of the base and height.
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