Question

Vanessa was given a math problem to determine how many different rectangles can be constructed with an area of 12 square inches Vanessa thinks that there are only two: one with a width of 2 inches and a length of 6,and another with a width of 3 inches and a length of 4 inches.

Answer 1

Explanation:

the answer is 21 because 12+2+3+4=21 so i state my answer is 21

Answer 2

There are 3 different rectangles (in feet): 2 by 6; 3 by 4; 1 by 12

Explanation:

The answer is that there is an infinite number of rectangles with area 12 sq in.

If the length and width must be whole numbers, then you need to find all different pairs of numbers whose product is 12.

2 × 6 = 12

3 × 4 = 12

The two pairs of numbers Vanessa thinks are correct, but there is one more.

12 × 1 = 12

Answer: There are 3 different rectangles: 2 by 6; 3 by 4; 1 by 12