What is the area?
Understand the Problem
The question is asking for the area of a triangle with given base and height measurements. To find the area, we will use the formula: Area = 0.5 * base * height.
Answer
The area of the triangle is approximately $15.275$ square inches.
Answer for screen readers
The area of the triangle is approximately $15.275$ square inches.
Steps to Solve
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Identify the base and height The base of the triangle is given as 6.5 inches, and the height is given as 4.7 inches.
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Use the area formula for a triangle We use the formula for the area of a triangle: $$ \text{Area} = 0.5 \times \text{base} \times \text{height} $$
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Substitute the values into the formula Substituting the identified values into the formula: $$ \text{Area} = 0.5 \times 6.5 , \text{in} \times 4.7 , \text{in} $$
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Calculate the area Now, perform the calculations: $$ \text{Area} = 0.5 \times 6.5 \times 4.7 $$
First, calculate $6.5 \times 4.7$: $$ 6.5 \times 4.7 = 30.55 $$
Then, multiply by 0.5: $$ \text{Area} = 0.5 \times 30.55 = 15.275 $$
- Record the area in square inches The area of the triangle is approximately 15.275 square inches.
The area of the triangle is approximately $15.275$ square inches.
More Information
The area calculation shows how much space the triangle occupies. In practical applications, knowing the area is important for various fields including architecture, engineering, and landscaping.
Tips
- Forgetting to use the height instead of another measurement, leading to an incorrect area calculation.
- Misplacing the base and height in the formula, which can also yield wrong results.
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