SOLUTION: Olinda is placing a wide matting x inches wide around a photo that is 5 inches long and 3 inches wide. write an expression in factored form for the area of the matting.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Olinda is placing a wide matting x inches wide around a photo that is 5 inches long and 3 inches wide. write an expression in factored form for the area of the matting.      Log On


   



Question 585631: Olinda is placing a wide matting x inches wide around a photo that is 5 inches long and 3 inches wide. write an expression in factored form for the area of the matting.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
area of photo = 5*3 = 15 sq. in
width of matting = x in
length & width of frame increases by 2x in.
length = 5+2x
width = 3+2x
Total area = (5+x)(3+x)
15+8x+x^2
Total area - area of picture = area of matting
15+8x+x^2-15= area of matting
x^2+8x = area of matting.