SOLUTION: A photograph 8 cm by 11 cm will be framed as shown in the diagram. The combined area of the frame and photograph will be 180 cm2. Algebraically determine the outside

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A photograph 8 cm by 11 cm will be framed as shown in the diagram. The combined area of the frame and photograph will be 180 cm2. Algebraically determine the outside      Log On


   

Question 298485: A photograph 8 cm by 11 cm will be framed as shown in the diagram. The
combined area of the frame and photograph will be 180 cm2. Algebraically
determine the outside dimensions of the frame.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(8+2X)(11+2X)=180
88+38X+4X^2=180
4X62+38X+88-180=0
4X^2+38X-92=0
(2X-4)(2X+23)=0
2X-4=0
2X=4
X=4/2
X=2 cm is the width of the frame.
The dimentios odf the picture & frame is:
8+4=12
11+4=15
Proof:
12*15=180
180=180