Question

Answer the questions about the following rhombi.

1) What is the measurement 2) What is the value of x and 3) What is the value of m?
of angle E in the rhombus? y?
C
E=
E
D
B
X=
100⁰
y=
y
a=
c=
o
11
m=
30
301

Answer 1

The value of m is 8.

The length of VW = 36 units.

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

(2m)/2 = 16/2

m = 8

S0

The length of VW= 6m-12

= 6(8)-12 ∵

= 48-12

= 36

Thereofore, the length of VW = 36 units.