Question

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 21 + 2w = 16, 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

formula perimeter of a rectangle

= l + l + w + w

=2l + 2w

Perimeter of rectangle

21 + 2w = 16

as you know 21 is 2l,

one length

2l = 21

l =21/2

l = 10.5

Answer

10.5 inches

Answer 2

`l=8-w`

Explanation:

We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is
`2l+2w=16`, where
`l` represents the length of the rectangle and w represents the width of the rectangle.

Let us solve for
`l`.

Factor out 2:

`2(l+w)=16`

Divide both sides by 2:

`(2(l+w))/(2)=(16)/(2)`

`l+w=8`

Subtract w from both sides:

`l+w-w=8-w`

`l=8-w`

Therefore, the expression
`8-w` represents length of rectangle.