SOLUTION: The width of a photo is 5 inches less than its length. A border of 2 inches is placed around the photo. The area covered by the photo and its border is 150 square inches. Find the

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length = x
width = x-5
border = 2in
length including border = x+2+2=x+4
width including border = x-5 +2+2= x-1
Area = L*W
Area = (x+4)(x-1)=150
x^2+3x-4=150
x^2+3x-154=0
x^2+14x-11x-154=0
x(x+14)-11(x+14)=0
(x+14)(x-11)=0
x= 11 which is positive.
length = 11 inches
width = 11-5 = 6
CHECK
(11+4)(6+4)=150