# SOLUTION: A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in^2. What are the dimensions of the photo.

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 Question 158669: A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in^2. What are the dimensions of the photo.Answer by ankor@dixie-net.com(15656)   (Show Source): You can put this solution on YOUR website!A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in^2. What are the dimensions of the photo. : Let x = the width of the photo based on the 1st sentence we can say: (x+3) = the length of the photo : With a 2" border the overall dimensions would be (x+3) + 4, by x + 4 which is (x+7) by (x+4) : The overall area is given, therefore: (x+7)*(x+4) = 108 FOIL x^2 + 4x + 7x + 28 = 108 Arrange as a quadratic equation x^2 + 11x + 28 - 108 = 0 x^2 + 11x - 80 = 0 Factors to: (x+16)(x-5) = 0 Positive solution x = +5" is the width of the photo and 5+3 = 8" is the length of the photo : : Check the solution by finding the overall area; 12 * 9 = 108