Answered

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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 class=

Sagot :

Recall that in a parallelogram, the diagonals bisect each other. That means they divide each other in exactly equal parts.

that means that if LW = 5 x + 2 , and LJ = 11 x + 2,

since LJ is the full diagonal segment, and LW is half of it, we can say:

LJ = 2 times LW

In mathematical terms:

LJ = 2 * (LW)

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

use distributive property

11 x + 2 = 10 x + 4

subtract 10 x from both sides

11 x - 10 x + 2 = 4

x + 2 = 4

subtract 2 from both sides to isolate x completely on the left

x = 4 - 2

x = 2

Then now that we know the value of x, we can use it in the formula for LW:

LW = 5 x + 2 = 5 * 2 + 2 = 10 + 2 = 12

Then LW = 12

Then answer option A is the correct one.

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