Posted by jasmin on Thursday, December 29, 2011 at 3:29pm.
you are using tiles to make a picture frame for a square photograph with sides 10 inches long. You want the frame to form a uniform border around the photograph, You have enough tiles to cover 300 square inches. What is the largest possible frame width?

algebra 2  Reiny, Thursday, December 29, 2011 at 4:33pm
let the width of the border be x inches
then
(10+2x)^2  100 ≤ 300
100 + 40x + 4x^2  100  300 ≤ 0
x^2+ 10x  75 ≤ 0
(x+15)(x5) ≤ 0
x = 5
So the largest frame is 20 by 20
check: Area of whole frame = 400
area of photo = 100
area of tiles = 300

algebra 2  Eric, Thursday, December 29, 2011 at 4:34pm
The largest possible frame width is 17 inches long per side.
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