Answer:
The length of the rectangle is 21 feet.
Step-by-step explanation:
A rectangle is 4-sided polygon where all interior angles are 90°.
The perimeter of a rectangle is the total distance around the outside of a rectangle and its given by
[tex]P=2L+2W[/tex]
where [tex]L[/tex] is the length and [tex]W[/tex] is the width of the rectangle.
To find the length of the rectangle. First, we can write the relationship between the length and width as:
[tex]L=11+W[/tex]
Next, substitute the above relation into the formula for the perimeter of a rectangle.
[tex]P=2(11+W)+2W[/tex]
We know that the perimeter is 62 feet.
[tex]62=2(11+W)+2W[/tex]
And we solve for the width.
[tex]2\left(11+W\right)+2W=62\\22+2W+2W=62\\22+4W=62\\4W=40\\W=10[/tex]
We can now substitute the width into our formula for the relationship between the length and width and calculate the length.
[tex]L=11+10=21[/tex]
The length of the rectangle is 21 feet.