I dont understand this I need help

Question

asked Oct 14, 2021 72.1k views

1 Answer

Justin Steele · Answer 1 · 2021-10-18T21:08:55+0000

Answer:

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
is the length and
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.