The length of a flag must be 1.5 times the width, and the area of the flag must be between 60 square inches and 300 square inches. What are the possible whole-number dimensions for the flags?
2007-09-23 05:59:02 · 2 answers · asked by The One 1 in Science & Mathematics ➔ Mathematics
L = 1.5 W
L x W = 1.5 W^2
1.5 W^2 = 60
W^2 = 60 / 1.5 = 40
W cannot be a whole number.
1.5 W^2 = 300
W^2 = 200
Again W cannot be a whole number.
W^2 can be between 40 and 200.
49 is the minimum and 196 is the maximum value of W^2 so that W is a whole number.
For W^2 = 49, W = 7 and L = 1.5 W and again violates a whole number condition. For W = 8, L = 12
For W^2 = 196, W = 14 and L = 21
So, the minimum dimensions are 8 x 12 and maximum dimensions are 14 x 21 inches.
2007-09-23 06:09:29 · answer #1 · answered by Swamy 7 · 0⤊ 0⤋
8x12, 10x15, 12x18, and 14x21 simple
2007-09-23 13:07:37 · answer #2 · answered by Anonymous · 0⤊ 0⤋