The area of a rectangle is 36 inches squared and the perimeter of the same rectangle is 30 inches. What are the dimensions (length and width) of this rectangle? How did you know?
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area = l * b
36 = l * b
possible numbers = 1*36, 2*18, 3*12, 4*9, 6*6
(as sides of rectangle can't be negative)
perimeter = 2(l+b)
30 = 2(l+b)
30/2 = l+ b
15 = l + b
possible numbers = 1+14, 2+13, 3+12, 4+11, 5+10, 6+9, 7+8
(as sides of rectangle can't be negative)
on comparing the two sets of possible outcomes the sides of rectangle would be 3 and 12
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