Question

find the value of v.
74 in
v
v
93 in
perimeter = 311 inches
v = \boxed{} inches

Explanation:

Step1: Recall perimeter formula for trapezoid (or quadrilateral)

The perimeter \( P \) of a quadrilateral is the sum of all its sides. So, \( P = 74 + 93 + v + v \).

Step2: Substitute known values

We know \( P = 311 \), so \( 311 = 74 + 93 + 2v \).

Step3: Simplify the right side

First, calculate \( 74 + 93 = 167 \). So the equation becomes \( 311 = 167 + 2v \).

Step4: Solve for \( v \)

Subtract 167 from both sides: \( 311 - 167 = 2v \). \( 144 = 2v \). Then divide both sides by 2: \( v = \frac{144}{2} = 72 \).

Answer:

72