Question

in rhombus ABCD the measure in inches of AB is 3x+2 and BC is x+12 Find the number of inches in the length of DC

Answer 1

Answer: 17 inches

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Rule: All four sides of a rhombus are the same length

So AB = BC

Use this to solve for x

AB = BC

3x+2 = x+12

3x-x = 12-2

2x = 10

x = 5

If x = 5, then

AB = 3*x+2 = 3*5+2 = 15+2 = 17

and

BC = x+12 = 5+12 = 17

Both sides are 17 as expected, so the proper x value is confirmed.

So DC is also 17 since AB = DC