The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?

The length of the rectangle is 12.36 feet and this can be determined by using the Pythagorean theorem.

Given :

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet.

The following steps can be used in order to determine the length of the rectangle in feet:

Step 1 - The Pythagorean theorem can be used in order to determine the length of the rectangle in feet.

Step 2 - The mathematical expression of the Pythagorean theorem is given by:

  --- (1)

where H is the hypotenuse, B is the base, and P is the perpendicular.

Step 3 - According to the given data, the value of P is 4 feet and the value of H is 13 feet.

Step 4 - Substitute the known terms in the expression (1) in order to determine the length.

L = 12.36 feet

For more information, refer to the link given below:

link

12.4 feet

Step-by-step explanation:

This is the application of Pythagoras theorem.

The diagonal of the rectangle is the hypotenuse , to find the length , we will apply Pythagoras theorem , which states that :

the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.That is

=

Let the length of the rectangle be , so we have :

which means that

≈ 12.4 feet