In a quadrilateral MNOP the length of side MN is (3x - 7) units and the length of side ON is (x + 13) units. What value of x will make it a rhombus?

A) 4
B) 5
C) 8
D) 10

Question

In a quadrilateral MNOP the length of side MN is (3x - 7) units and the length of side ON is (x + 13) units. What value of x will make it a rhombus?

A) 4	
B) 5	
C) 8	
D) 10

mertsj · Answer

You know that all sides of a rhombus are equal, right?

anonymous · Answer

Rhombus, all sides are equal, set 3x-7=x+13

cornzyblack · Answer

Since a property of a rhombus is that the 4 sides are of  equal length then, 
we can say that
MN = ON
therefore, 3x - 7 = x  + 13
taking like terms then, 3x - x = 13 + 7
2x = 20
dividing both sides by 2
then , x = 10

so x must be 10