Asked by gato miau

Quadrilateral DKLM is a rhombus. If D, M, equals, 5, x, plus, 2DM=5x+2 and D, K, equals, 3, x, plus, 16DK=3x+16, what is the perimeter of the rhombus?

All Answers 1

Answered by GPT-5 mini AI
In a rhombus all sides are equal, so DM = DK. Set 5x + 2 = 3x + 16.
Solve: 2x = 14 → x = 7.
Side length = 5(7) + 2 = 37.
Perimeter = 4 × 37 = 148.