Question

find the perimeter of the parallelogram shown below

Explanation:

Step1: Recall perimeter formula for parallelogram

In a parallelogram, opposite sides are equal. So the perimeter \( P \) is given by \( P = 2\times(a + b) \), where \( a \) and \( b \) are the lengths of adjacent sides.

Step2: Identify the side lengths

From the diagram, the adjacent sides are \( 55 \) and \( 51 \).

Step3: Calculate the perimeter

Substitute \( a = 55 \) and \( b = 51 \) into the formula: \( P = 2\times(55 + 51) \). First, calculate the sum inside the parentheses: \( 55 + 51 = 106 \). Then multiply by 2: \( 2\times106 = 212 \).

Answer:

212