Question

Given that WXYZ is a rhombus, find the value of x. A. 15 B. 20 C. 30 D. 45

Answer 1

4 x – 10 = 2 x + 20

2 x = 30

x = 15

Answer 2

In this problem, we are given the equations of the two sides of a rhombus.

Equation 1 is 4 x – 10

Equation 2 is 2 x + 20

Since the given shape is a rhombus, therefore the two sides have equal sides. Hence, we can simply equate equation 1 and equation 2:

4 x – 10 = 2 x + 20

2 x = 30

x = 15

Therefore the answer is:

A. 15