Question

the perimeter of a geometric figure is the sum of the lengths of its sides. if the perimeter of the pentagon (five - sided figure) to the right is 140 meters, find the length of each side. note that the figure is not to the scale. x meters x meters x meters x meters 3.5x meters

Explanation:

Step1: Set up perimeter equation

The perimeter of the pentagon is the sum of the lengths of its sides. So, $3.5x + 3.5x+x + x+x=140$.

Step2: Combine like - terms

Combining the $x$ terms on the left - hand side gives $(3.5 + 3.5+1 + 1+1)x=140$, which simplifies to $10x = 140$.

Step3: Solve for x

Dividing both sides of the equation $10x = 140$ by 10, we get $x=\frac{140}{10}=14$.

Step4: Find the length of 3.5x

Substitute $x = 14$ into $3.5x$, we have $3.5\times14 = 49$.

Answer:

$x = 14$, $3.5x=49$