To find the area of a triangle, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, the base of the triangle is 7.5 centimeters and the height is 4 centimeters. Plugging these values into the formula:
\[ \text{Area} = \frac{1}{2} \times 7.5 , \text{cm} \times 4 , \text{cm} \]
Calculating it step-by-step:
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Calculate the product of the base and height: \[ 7.5 \times 4 = 30 \]
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Now, multiply by \(\frac{1}{2}\): \[ \text{Area} = \frac{1}{2} \times 30 = 15 , \text{cm}^2 \]
Thus, the area of the box lid is 15 square centimeters.