SOLUTION: A picture frame holds an 8-inch by 10-inch photograph. The frame adds a border x inches wide around three sides of the photo. On the fourth side, the frame is wider to accommodate
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-> SOLUTION: A picture frame holds an 8-inch by 10-inch photograph. The frame adds a border x inches wide around three sides of the photo. On the fourth side, the frame is wider to accommodate
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Question 1159323: A picture frame holds an 8-inch by 10-inch photograph. The frame adds a border x inches wide around three sides of the photo. On the fourth side, the frame is wider to accommodate a decoration on the frame. The forth side is (3x-1) inches wide, as shown in the figure.
a) write a quadratic expression for the combined area of the frame in terms of x.
b)if the border on the three matching sides in 1 inch, what is the combined area of the frame?
c)if the combined area of the frame is 165 square inches, find x. Answer by MowMow(42) (Show Source):
You can put this solution on YOUR website! a. (10+3x)(8+2x)=6x^2 + 44x + 80 = A
b. 13 times 10 = 130 in^2
c. by graphing (10+3x)(8+2x)=6x^2 + 44x + 80 = 165
x = 1.6 in.
