Question

I dont understand this I need help

Answer 1

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

                                                    $P=2L+2W$

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.