Question

question 3
given abcd is a parallelogram, solve for x.
(parallelogram abcd with sides: ab=12, bc=16+2x, cd=12, da=10+8x)
options: 1, 4, 3, 2

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite sides are equal. So, \( BC = AD \).
Given \( BC = 16 + 2x \) and \( AD = 10 + 8x \), we set up the equation: \( 16 + 2x = 10 + 8x \).

Step2: Solve for x

Subtract \( 2x \) from both sides: \( 16 = 10 + 6x \).
Subtract 10 from both sides: \( 6 = 6x \).
Divide both sides by 6: \( x = 1 \).

Answer:

1