Question

the area of the triangle below is 23.37 square feet. what is the length of the base?

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. We know $A = 23.37$ square - feet and $h = 3.9$ feet.

Step2: Rearrange the formula to solve for the base

Starting from $A=\frac{1}{2}bh$, we can solve for $b$ by first multiplying both sides of the equation by $2$ to get $2A = bh$. Then, dividing both sides by $h$ gives $b=\frac{2A}{h}$.

Step3: Substitute the known values

Substitute $A = 23.37$ and $h = 3.9$ into the formula $b=\frac{2A}{h}$. So $b=\frac{2\times23.37}{3.9}$.

Step4: Calculate the value of the base

First, calculate $2\times23.37 = 46.74$. Then, $\frac{46.74}{3.9}=11.9846\approx12$ feet.

Answer:

12 feet