Re: The length of a rectangle is 3 inches, plus or min
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12 Apr 2023, 06:25
We can answer this question by looking within the allowable ranges of percentage changes.
Largest possible area is the area with using the length and breadth with the highest possible values.
Highest possible Length, L = 3+(1/2) = 3.5
Highest possible Breadth, B = 2+(1/4) = 2.25
Max Area, A = LB = 3.5*2.25= 7.875
Highest percentage increase = ((7.875 - 6)*100)/6 = +31.25%
Smallest possible area is the area with using the length and breadth with the lowest possible values.
Lowest possible Length, L2 = 3-(1/2) = 2.5
Lowest possible Breadth, B2 = 2-(1/4) = 1.75
Min Area, A (min) = LB = 2.5*1.75 = 4.375
Highest percentage decrease = ((4.375 - 6)*100)/6 = -27.08%
Only options B, C, and D are in between -27.08% and +31.25% and are correct.