Question

the area of the triangle below is 14.25 square feet. what is the length of the base? 5 ft

Explanation:

Step1: Recall area formula for triangle

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 $A = 14.25$ square - feet and $h = 5$ feet.

Step2: Rearrange the formula to solve for the base

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

Step3: Substitute the known values

Substitute $A = 14.25$ and $h = 5$ into the formula $b=\frac{2A}{h}$. So $b=\frac{2\times14.25}{5}$.

Step4: Calculate the value of the base

First, calculate $2\times14.25 = 28.5$. Then, $\frac{28.5}{5}=5.7$ feet.

Answer:

$5.7$ feet