Question

fall 2025 geometry b wwva
proving a quadrilateral is a parallelogram
what is the perimeter of parallelogram lmno?
18 cm
40 cm
80 cm
22 cm

Explanation:

Step1: Recall the property of a parallelogram

In a parallelogram, opposite sides are equal. So, \(LM = ON\) and \(LO=MN\). Given \(LM = 22\mathrm{cm}\) and \(MN = 18\mathrm{cm}\).

Step2: Use the perimeter formula

The perimeter formula of a parallelogram is \(P=2(a + b)\), where \(a\) and \(b\) are the lengths of adjacent sides. Here \(a = 22\mathrm{cm}\) and \(b = 18\mathrm{cm}\). Then \(P=2(22 + 18)\).

Step3: Calculate the perimeter

First, calculate the sum inside the parentheses: \(22+18 = 40\). Then multiply by 2: \(P=2\times40=80\mathrm{cm}\).

Answer:

\(80\mathrm{cm}\)