Question

what is the missing length? p 68 yd area = 1870 yd² p = yards

Explanation:

Step1: Recall area formula for triangle

The area formula for a right - triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height. Here, $b = 68$ yd, $A=1870$ yd², and $h = p$.

Step2: Rearrange the formula to solve for $p$

Starting from $A=\frac{1}{2}bh$, we can solve for $h$ (which is $p$ in our case). First, multiply both sides of the equation by 2 to get $2A=bh$. Then, divide both sides by $b$: $p=h=\frac{2A}{b}$.

Step3: Substitute the given values

Substitute $A = 1870$ yd² and $b = 68$ yd into the formula $p=\frac{2A}{b}$. So, $p=\frac{2\times1870}{68}$.
$2\times1870 = 3740$, and $\frac{3740}{68}=55$.

Answer:

55