SOLUTION: A poser has a length 4 inches greather than is width w. Demetrius will place a frame 2 inches wide around the poster. The area of the poster and frame together is 672 square inches

Algebra ->  Algebra  -> Distributive-associative-commutative-properties -> SOLUTION: A poser has a length 4 inches greather than is width w. Demetrius will place a frame 2 inches wide around the poster. The area of the poster and frame together is 672 square inches      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 66088: A poser has a length 4 inches greather than is width w. Demetrius will place a frame 2 inches wide around the poster. The area of the poster and frame together is 672 square inches. Which factored equation could be used to find the width of the poster?
Answer choices:
A) (w+32(w-20)=0
B) (w+4)(w+8)=0
C) (w+2)(w+6)=672
D) (w-32)(w+20)=0
Answer by uma(370) About Me  (Show Source):
You can put this solution on YOUR website!
Let the width of the poster be w
Then length = (w+4)
When there is a frame of 2 inches wide,
length of the frame = (w+4) +2 + 2
= w + 8

Width of the frame = (w) + 2+ 2
= w + 4
Area = length * width
==> (w+8)(w+4) = 672

Good Luck!!!