Question
A building casts a shadow in the shape of a right triangle with a base 18 feet wide and a height of 20 feet. What is the total area of the shadow?
38 square feet
90 square feet
180 square feet
360 square feet
38 square feet
90 square feet
180 square feet
360 square feet
Answers
GPT-4o mini
To find the area of a right 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 18 feet and the height is 20 feet. Plugging these values into the formula gives:
\[
\text{Area} = \frac{1}{2} \times 18 \, \text{feet} \times 20 \, \text{feet}
\]
Calculating this:
\[
\text{Area} = \frac{1}{2} \times 360 \, \text{square feet} = 180 \, \text{square feet}
\]
Thus, the total area of the shadow is **180 square feet**.
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
In this case, the base of the triangle is 18 feet and the height is 20 feet. Plugging these values into the formula gives:
\[
\text{Area} = \frac{1}{2} \times 18 \, \text{feet} \times 20 \, \text{feet}
\]
Calculating this:
\[
\text{Area} = \frac{1}{2} \times 360 \, \text{square feet} = 180 \, \text{square feet}
\]
Thus, the total area of the shadow is **180 square feet**.