A safety sign is a triangular shape and has a base of 28 inches and a height of 20 inches. Use the triangle area formula to find the number of square inches of metal needed to make the sign. (1 point) Responses To make the sign, 1,120 square inches of metal are needed. To make the sign, 1,120 square inches of metal are needed. To make the sign, 560 square inches of metal are needed. To make the sign, 560 square inches of metal are needed. To make the sign, 280 square inches of metal are needed. To make the sign, 280 square inches of metal are needed. To make the sign, 48 square inches of metal are needed.

1 answer

To find the area of a triangle, you can use the formula:

\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

For the safety sign, the base is 28 inches and the height is 20 inches. Plugging in these values:

\[ \text{Area} = \frac{1}{2} \times 28 \times 20 \]

Calculating this step-by-step:

  1. First, calculate the product of the base and height:

\[ 28 \times 20 = 560 \]

  1. Now, take half of this product:

\[ \text{Area} = \frac{1}{2} \times 560 = 280 \]

Therefore, the area of the sign is 280 square inches.

So, the answer is: To make the sign, 280 square inches of metal are needed.