Question

The following figure is a rhombus. Find the value of m. Then, use that value to find the measure of VW

Answer 1

Answer:

• $m=8$

• The length of VW = 36 units.

Step-by-step explanation:

We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.

From the diagram, it is clear that

• The length of VW= 6m-12

• The length of WX = 4m+4

As all the four sides of the rhombus have equal length.

So we can observe

$VW=WX$

$6m-12 = 4m+4$

Add 12 to both sides

$6m-12+12=4m+4+12$

$6m=4m+16$

$2m=16$

Divide both sides by 2

$\frac{2m}{2}=\frac{16}{2}$

$m=8$

so

The length of VW= 6m-12

                             = 6(8)-12  ∵ $m=8$

                              = 48-12

                              = 36

Thereofore, the length of VW = 36 units.