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)

Question

Responses

30 square centimeters
30 square centimeters

11.5 square centimeters
11.5 square centimeters

15 square centimeters
15 square centimeters

16 square centimeters

Answer 1

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 those values into the formula gives:

\[ \text{Area} = \frac{1}{2} \times 7.5 , \text{cm} \times 4 , \text{cm} \]

Calculating this:

\[ \text{Area} = \frac{1}{2} \times 30 , \text{cm}^2 = 15 , \text{cm}^2 \]

So the area of the box lid is 15 square centimeters.