Question

Use the figure to answer the questions below.

Part A: Give the most descriptive name for the figure. Justify your answer.

Part B: Solve for x.

Part C: Find the length of the longer side.

Answer 1

• parallelogram
• x = 5
• 60 units

Explanation:

A. Opposite sides are the same length, so the figure is a parallelogram.

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B. Diagonals of a parallelogram cross at their midpoints, so ...

9x +3 = 10x -2

5 = x . . . . . . . . add 2-9x to both sides

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C. The longer side is 12x = 12(5) = 60 . . . . units