Question

the perimeter of a geometric figure is the sum of the lengths of its sides. if the perimeter of the following pentagon (five - sided figure) is 70 meters, find the length of each side.
x = m
2x = m

Explanation:

Step1: Set up perimeter equation

The perimeter $P$ of the pentagon is the sum of its side - lengths. So $P=x + x+x + 2x+2x$. Given $P = 70$, we have $x + x+x + 2x+2x=70$.
Combining like - terms, $(1 + 1+1 + 2+2)x=70$, which simplifies to $7x = 70$.

Step2: Solve for $x$

Divide both sides of the equation $7x = 70$ by 7. Using the formula $\frac{7x}{7}=\frac{70}{7}$, we get $x = 10$.

Step3: Find the value of $2x$

Multiply the value of $x$ by 2. Since $x = 10$, then $2x=2\times10 = 20$.

Answer:

$x = 10$ m
$2x = 20$ m