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

Transcript text: mylabschool.pearson.com Parallelograms Question 7, 6.2.22 Part 1 of 4 HW Score: 30%, 3 of 10 points Points: 0 of 1 Save Use the diagram of parallelogram ABCD to find the length of each side. $AB = \square$ (Type an integer or a decimal.)

Solution

Solution Steps

Step 1: Recognize Parallelogram Properties

In a parallelogram, opposite sides have equal lengths. In parallelogram ABCD, this means AB = CD and BC = AD.

Step 2: Set up an Equation

We are given that AD = 17 and CD = a + 7. Since AD = BC, we know BC = 17. We are also given that AB = 2a - 1. Since AB = CD, we can set up the equation 2a - 1 = a + 7.

Step 3: Solve for 'a'

Subtract 'a' from both sides: a - 1 = 7. Add 1 to both sides: a = 8

Step 4: Find AB

Substitute the value of 'a' (which is 8) into the expression for AB: AB = 2(8) - 1 = 16 - 1 = 15