Math 1 Question

Question

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

Answer 1

length could be anywhere between 0 and infinity.

2l+2w = 16

l+w = 8

if you limit the dimensions to integers then the possible values are

l w P

1 7 16

2 6 16

3 5 16

4 4 16

5 3 16

6 2 16

7 1 16

length could be 1,2,3, 4, 5, 6, or 7 if you're limited to integers for the dimensions

but if you allow fractions and irrational numbers, then

0 < l < + infinity

allow surreal numbers and length could also be 0 or infinity.