SOLUTION: Alice wants to buy a mat for a photograph that measures 14 in. by 20 in. She wants to have an even border around the picture when it is mounted on the mat. If the area of the mat s

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Alice wants to buy a mat for a photograph that measures 14 in. by 20 in. She wants to have an even border around the picture when it is mounted on the mat. If the area of the mat s      Log On


   

Question 48259: Alice wants to buy a mat for a photograph that measures 14 in. by 20 in. She wants to have an even border around the picture when it is mounted on the mat. If the area of the mat she chooses is 352 in.squared, how wide will the border be?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(20+2X)(14+2X)=352 OR 280+28X+40X+4X~2=352 OR 4X~2+68X-72 OR X~2+17X-18=0 OR
(X-1)(X+18)=0 OR X=1 & X=-18 SO THE MAT IS 22 BY 16 = 352 IN~2 THUS THE BORDER IS 1/2 THE INCREASE DIMENTIONS 22-20=2*1/2 OR 2*1/2=1 IN.