Question

The rectangle below has a height of 2y + 5 and a base of y' + 6y

What is the area of the entire rectangle in proper polynomial format?
[A] 3* + 12y* + 5y? +60y
[B] 60 + 5y + 12y +
(C) 60y + 5y? +12y + yo
[D] 2y +12y + 5y + 30y
b
ОООО
Choice [A]
Choice [B]
Choice (C)
Choice [D]
d

Answer 1

Choice D

Explanation:

The area can be found simply by multiplying the height by the base:

`(2y + 5)(y + 6)\\= 2y^2 + 12y + 5y + 30\\= 2y^2 + 17y + 30`

So answer D is the correct one (note that they do not group like terms, leaving 12y + 5y in that form instead of adding them together).