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

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

Step2: Rearrange formula for base

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

Step3: Substitute values

Given $A = 14.25$ square - feet and $h = 5$ feet. Substitute into the formula: $b=\frac{2\times14.25}{5}$.

Step4: Calculate base length

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

Answer:

$5.7$ feet