The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 21+ 2 w = 16, where I
represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the
rectangle?
7 in.
8 in
9 in.
10 in.
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Respuesta :

Answer:

7 in

Step-by-step explanation:

we know that

The perimeter of rectangle is given by the equation

[tex]P=2(L+W)[/tex]

where

L is the length

W is the width

In this problem we have

[tex]P=16\ in[/tex]

substitute

[tex]16=2(L+W)[/tex]

simplify

[tex]L+W=8[/tex]

solve for L

[tex]L=8-W[/tex]

That means ----> The length of rectangle must be less than 8 inches

therefore

The values of 8 in, 9 in and 10 in are not possible or the length of the rectangle

The value of 7 in is possible for the length of the rectangle