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?

Respuesta :

Amny

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:

[tex]l=8-w[/tex]

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 [tex]2l+2w=16[/tex], where [tex]l[/tex] represents the length of the rectangle and w represents the width of the rectangle.

Let us solve for [tex]l[/tex].

Factor out 2:

[tex]2(l+w)=16[/tex]

Divide both sides by 2:

[tex]\frac{2(l+w)}{2}=\frac{16}{2}[/tex]

[tex]l+w=8[/tex]

Subtract w from both sides:

[tex]l+w-w=8-w[/tex]

[tex]l=8-w[/tex]

Therefore, the expression [tex]8-w[/tex] represents length of rectangle.