Question

4.2 perimeter of quadrilaterals and triangles
find the missing side length of the trapezoid given the perimeter equals 115 inches.
25 in
31 in
the missing side length =
35 in
inches

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a trapezoid is the sum of all its side - lengths. Let the missing side length be $x$. So $P=25 + 35+31 + x$.

Step2: Substitute given perimeter

We know that $P = 115$. So the equation becomes $115=25 + 35+31 + x$.

Step3: Simplify the right - hand side

First, calculate $25 + 35+31=91$. The equation is now $115 = 91+x$.

Step4: Solve for $x$

Subtract 91 from both sides of the equation: $x=115 - 91$.
$x = 24$.

Answer:

24