you can represent the width of a certain rectangle with the expression x + 2. the length of the rectangle is twice the width. what is the area of the rectangle?

Question

A.) 2x+4
B.) 2x^2+8
C.) 2x^2+8x+8
D.) 4x^2+16x+16

I'm not sure on the answer..... Please help

Thank you

Answer 1

L = 2 x + 4

A = L w = (2x+4)(x+2)
= 2 x^2 + 8 x + 8 using foil
or use distributive property

2x(x+2) = 2 x^2 + 4 x
4 (x+2) = 4 x + 8
-------------------------add
2 x^2 + 8 x + 8 remarkable :)

Answer 2

Thank you Damon...remarkable is right!