Question

1. the perimeter of the figure below is 30. find the missing side length.

7 yd
5 yd
5 yd
7 yd
7
9
6
8

Explanation:

Step1: Identify known side - lengths

The known side - lengths are $7$ yd, $7$ yd, $5$ yd, and $5$ yd. Let the missing side - length be $x$.

Step2: Set up perimeter equation

The perimeter $P$ of a polygon is the sum of all its side - lengths. So, $P=7 + 7+5 + 5+x$. Given that $P = 30$ yd. Then $30=7 + 7+5 + 5+x$.

Step3: Simplify the right - hand side

First, calculate $7 + 7+5 + 5$: $7+7 = 14$ and $5 + 5=10$, so $7 + 7+5 + 5=14 + 10=24$. The equation becomes $30=24+x$.

Step4: Solve for $x$

Subtract 24 from both sides of the equation: $x=30 - 24$. So, $x = 6$ yd.

Answer:

6