Question

I dont understand this I need help

Answer 1

The length of the rectangle is 21 feet.

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

`P=2L+2W`

where
`L` is the length and
`W` 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:

`L=11+W`

Next, substitute the above relation into the formula for the perimeter of a rectangle.

`P=2(11+W)+2W`

We know that the perimeter is 62 feet.

`62=2(11+W)+2W`

And we solve for the width.

`2\left(11+W\right)+2W=62\\22+2W+2W=62\\22+4W=62\\4W=40\\W=10`

We can now substitute the width into our formula for the relationship between the length and width and calculate the length.

`L=11+10=21`

The length of the rectangle is 21 feet.