Question

The area of rectangle R is 48. If its sides are whole numbers, then its perimeter cannot be__?

Answer 1

An odd number. That's because the formula for the perimeter is

P = 2* (L + W)

Multiplying by 2 is never going to produce an odd number.  The question is much trickier than it looks. What happens when you have a square with sides of 7.

The area = s^2

Area = 7 * 7

Area = 49 and that's odd. But can you get an odd perimeter? The answer is no. The perimeter of a square is 4s

P = 4s. If s = 7

P = 4*7

P = 28 which is even. If there is another answer, I'm unaware of it.

A: P = 2*(6 + 8) = 2*14 = 28 A is a correct Perimeter.

B: P = 2*(3 + 16) = 2*19 = 38 B is a correct Perimeter.

C:P = 2*? Can't find anything. C is the answer.

D:P = 2*(1 + 48) = 2*49 = 98. D is correct.

Answer: C