The lid to a box is in the shape of a triangle. The base of the triangle is 7.5 centimeters, and the height of the triangle is 4 centimeters. What is the area of the box lid? (1 point) 15 square centimeters 16 square centimeters 11.5 square centimeters 30 square centimeters

1 answer

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:

  1. Calculate the product of the base and height: \[ 7.5 \times 4 = 30 \]

  2. 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.