SOLUTION: The length of a rectangle is 10 centimeters less than 3 times its width. If the perimeter of the rectangle is at most 180 centimeters, find the greatest possible length of the rect

Question 263926: The length of a rectangle is 10 centimeters less than 3 times its width. If the perimeter of the rectangle is at most 180 centimeters, find the greatest possible length of the rectangle
Can You Please Show How You Got Your Answer
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
The length of a rectangle is 10 centimeters less than 3 times its width. If the perimeter of the rectangle is at most 180 centimeters, find the greatest possible length of the rectangle
Can You Please Show How You Got Your Answer
L length, W width
P perimeter = 2 * (L + W) = 180 cm at most
P = 2 * ( (3 * W - 10) + W ) = 180
2 * ( (3 * W - 10) + W ) = 180 (solve for W)
3 * W - 10 + W = 90 (divided both sides by 2)
4 * W - 10 = 90
4 * W = 100 (divide both sides by 4)
W = 25 cm
L = 3 * W - 10 (plug in the solved W)
L = 3 * 25 - 10
L = 75 - 10
L = 65 cm greatest possible length
check:
P = 2 * (L + W)
P = 2 * (65 + 25)
P = 2 * 90
P = 180 cm

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