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

Answer:

$l=8-w$

Step-by-step 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:

$\frac{2(l+w)}{2}=\frac{16}{2}$

$l+w=8$

Subtract w from both sides:

$l+w-w=8-w$

$l=8-w$

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