Question

The expression (6x+18) represents the area of the model below. Which expression could NOT represent the dimensions of the model?

A) 3(x+6)

B) 6(x+3)

C) 0.5(12x+36)

D) 0.25(24x_72)

(the model is one box that says 6x, and a box next to it/connected that has 18 in it.)

Answer 1

A) 3(x+6)

Explanation:

Given,

The area of the model = (6x+18)

If the dimensions of the model are, x unit × y unit,

Then,

xy = 6x + 18

If x = 3, y = x + 6

3(x+6) = 3x + 18 ( by distributive property )

∴ Option A doesn't represent the dimensions of the model,

If x = 6, y = x + 3

6(x+3) = 6x + 18

∴ Option B represents the dimensions of the model,

If x = 0.5, y = 12x+36

0.5(12x+36) = 6x + 18

∴ Option C represents the dimensions of the model,

If x = 0.25, y = 24x + 72

0.25(24x+72) = 6x+18

∴ Option D represents the dimensions of the model,