Respuesta :
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.