Question

the area of the triangle below is 29.25 square feet. what is the length of the base? 6.5 ft

Explanation:

Step1: Recall area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $A$ is the area, $b$ is the base, and $h$ is the height.

Step2: Rearrange the formula for base

We can rewrite the formula to solve for $b$: $b = \frac{2A}{h}$.

Step3: Substitute given values

We know that $A = 29.25$ square - feet and $h=6.5$ feet. Substitute these values into the formula: $b=\frac{2\times29.25}{6.5}$.
First, calculate $2\times29.25 = 58.5$. Then, $\frac{58.5}{6.5}=9$.

Answer:

9 feet