SOLUTION: The width of a rectangle is 24cm less than the length. The perimeter is less than 172cm. Find the maximum dimensions of the rectangle if each dimension, in centimeters, is an integ
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Question 1091587: The width of a rectangle is 24cm less than the length. The perimeter is less than 172cm. Find the maximum dimensions of the rectangle if each dimension, in centimeters, is an integer.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
length is x
width is x-24
their sum is less than HALF the perimeter, or less than half of 172 or 86 cm.
x+x-24 < 86
2x <110
x < 55 cm
x-24 is < 31 cm
so the maximum dimension is 30 cm width and 54 cm length. If I use 31 and 55, those are integers that give a perimeter of exactly 172 cm, but the perimeter is LESS, so I have to decrease each an integer to keep them 24 cm apart.
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