Questions: Use the diagram of parallelogram ABCD to find the length of each side. AB= (Type an integer or a decimal.)

Use the diagram of parallelogram ABCD to find the length of each side. AB= (Type an integer or a decimal.)
Transcript text: Use the diagram of parallelogram $A B C D$ to find the length of each side. $A B=$ $\square$ (Type an integer or a decimal.)
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Solution

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Solution Steps

Step 1: Setting up the equation

In a parallelogram, opposite sides are equal. Therefore, AB = CD and BC = AD. We are given that AB = 2a + 4 and CD = a + 26. We can set up an equation: 2a + 4 = a + 26

Step 2: Solving for _a_

Subtract 'a' from both sides: a + 4 = 26. Subtract 4 from both sides: a = 22

Step 3: Finding the length of AB

Substitute the value of 'a' (22) back into the expression for AB: AB = 2(22) + 4 = 44 + 4 = 48

Final Answer:

The length of AB is 48.

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