Question

your answer is incorrect. the perimeter of the pentagon below is 55 units. find the length of side yz. write your answer without variables. try one last time

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a pentagon is the sum of the lengths of its five - sides. So $P=3t + 10+(t + 2)+(2t+3)+10$.

Step2: Simplify the perimeter equation

Combine like - terms: $P=(3t+t + 2t)+(10 + 2+3 + 10)=6t+25$.

Step3: Set up the equation using the given perimeter

We know that $P = 55$. So $6t+25 = 55$.

Step4: Solve for $t$

Subtract 25 from both sides: $6t=55 - 25=30$. Then divide both sides by 6: $t=\frac{30}{6}=5$.

Step5: Find the length of side $YZ$

Side $YZ$ has length $3t$. Substitute $t = 5$ into $3t$, we get $3\times5 = 15$.

Answer:

$YZ = 15$