2l + 2w = 16
2(l + w) = 16
l + w = 8
Lengths could be any numbers greater than 0 and less than 8
0 < l < 8
Answer:
possible length is 1 to 7
Step-by-step explanation:
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is [tex]2l + 2w = 16[/tex], where l represents the length of the rectangle and w represents the width of the rectangle.
[tex]2l + 2w = 16[/tex], divide the whole equation by 2
[tex]l + w = 8[/tex], now subtract 'w' on both sides
[tex]l =8-w [/tex]
Here , width should be greater than 1. Suppose width =1 ,
then length = 8-1=7. It means the length should be less than 1
So , the possible length of the rectangle is between 1 to 7
