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If LW = 5x + 2 and LJ = 11x + 2 in the parallelogram below. Find LW.

If LW = 5x + 2 and LJ = 11x + 2 in the parallelogram below. Find LW.-example-1
User JackD
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1 Answer

3 votes

Answer:

A. 12

Explanation:

Recall: one of the properties of a parallelogram is that the diagonals bisect each other. This means that:

LJ = 2(LW)

11x + 2 = 2(5x + 2)

11x + 2 = 10x + 4

11x + 2 - 2 = 10x + 4 - 2

11x = 10x + 2

11x - 10x = 10x + 2 - 10x

x = 2

✅LW = 5x + 2

Plug in the value of x

LW = 5(2) + 2

LW = 10 + 2 = 12

User Its Not Blank
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