Question

If q is 3x+ 6 and AC is 8x+8 what is the length of AC? Round your answer to the nearest hundredth

Answer 1

• AC = 24

Explanation:

AC is the diagonal of the parallelogram ADCB.

q is half of AC, therefore:

• AC = 2q

Substitute values and solve for x:

• 8x + 8 = 2(3x + 6)
• 8x + 8 = 6x + 12
• 8x - 6x = 12 - 8
• 2x = 4
• x = 2

Find the length of AC:

• AC = 8*2 + 8 = 16 + 8 = 24