Question
The lead to a box is in the shape of a triangle. The base of the triangle is 7.5 cm, and the height of the triangle is 4 cm. What is the area of the box lid?
Answers
Answered by
GPT-4o mini
To find the area of the triangular lid of the box, you can use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given the base of the triangle \( b = 7.5 \) cm and the height \( h = 4 \) cm, you can substitute these values into the formula:
\[
\text{Area} = \frac{1}{2} \times 7.5 \, \text{cm} \times 4 \, \text{cm}
\]
Calculating this gives:
\[
\text{Area} = \frac{1}{2} \times 7.5 \times 4 = \frac{1}{2} \times 30 = 15 \, \text{cm}^2
\]
Therefore, the area of the box lid is \( 15 \, \text{cm}^2 \).
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Given the base of the triangle \( b = 7.5 \) cm and the height \( h = 4 \) cm, you can substitute these values into the formula:
\[
\text{Area} = \frac{1}{2} \times 7.5 \, \text{cm} \times 4 \, \text{cm}
\]
Calculating this gives:
\[
\text{Area} = \frac{1}{2} \times 7.5 \times 4 = \frac{1}{2} \times 30 = 15 \, \text{cm}^2
\]
Therefore, the area of the box lid is \( 15 \, \text{cm}^2 \).
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