Questions: Find the area. All dimensions are in feet. Select one: a. 48 ft² b. 96 ft² c. 20 ft² d. 10 ft²

Transcript text: Find the area. All dimensions are in feet. Select one: a. $48 \mathrm{ft}^{2}$ b. $96 \mathrm{ft}^{2}$ c. $20 \mathrm{ft}^{2}$ d. $10 \mathrm{ft}^{2}$

Solution

Solution Steps

Step 1: Identify the given information

We are given a right triangle with a base of 8 feet and a height of 12 feet. We are asked to find the area of the triangle.

Step 2: Recall the formula for the area of a triangle

The area of a triangle is given by the formula: Area $= \frac{1}{2} \times \text{base} \times \text{height}$

Step 3: Substitute the given values into the formula

In our case, the base is 8 feet and the height is 12 feet. Substituting these values into the formula, we get: Area $= \frac{1}{2} \times 8 \text{ ft} \times 12 \text{ ft}$

Step 4: Calculate the area

Area $= \frac{1}{2} \times 96 \text{ ft}^2$ Area $= 48 \text{ ft}^2$