Question

In a quadrilateral MNOP the length of side MN is (4x − 7) units and the length of side ON is (7 − 3x) units. What value of x will make it a rhombus?

14
2
7
12

Answer 1

In a rhombus, all sides are equal.

So for the quadrilateral MNOP to be a rhombus, the given sides have to be equal. THat is

`MN=ON`

`image`

Adding 3x to both sides and addinf 7 to both sides

`7x = 14`

Now we need to get rid of 7 and for that we do division, that is

`(7x)/(7) = (14)/(7)`

`x=2`

Correct option is the second option .