Question

If the width of a rectangular piece of wood is x + 2 inches long and the length is three times as long with an additional inch added, what is the area of the wood?

a. 3x² + 12x + 12
b. 3x² + 12x + 14
c. 3x² – 13x + 14
d. 3x² + 13x + 14

Answer 1

A = lw
A = 3(x + 2)(x + 2)
A = 3(x(x + 2) + 2(x + 2)
A = 3(x(x) + x(2) + 2(x) + 2(2))
A = 3(x² + 2x + 2x + 4)
A = 3(x² + 4x + 4)
A = 3(x²) + 3(4x) + 3(4)
A = 3x² + 12x + 12

The answer is A.