Question

A construction worker needs to put a rectangular window the side of a building. He knows from measuring that the top and bottom of the window have a width of 5 feet and the sides have a length of 12 feet. He also measured one diagonal to be 13 feet. What is the length of the other diagonal? A. 17 feet B. 12 feet C. 5 feet D. 13 feet

Answer 1

It would also need to be 13 feet

Answer 2

Answer:

Option D - 13 feet

Step-by-step explanation:

Given : A construction worker needs to put a rectangular window the side of a building. He knows from measuring that the top and bottom of the window have a width of 5 feet and the sides have a length of 12 feet. He also measured one diagonal to be 13 feet.

To find : What is the length of the other diagonal?

Solution :

Length of the rectangular window is 12 feet.

Width of the rectangular window is 5 feet.

One diagonal of the rectangular window is 13 feet.

We know that, Diagonals of the rectangle are equal.

So, The other diagonal is 13 feet.

or we can apply Pythagorean theorem to verify,

$d=\sqrt{l^2+b^2}$

$d=\sqrt{12^2+5^2}$

$d=\sqrt{144+25}$

$d=\sqrt{169}$

$d=13$

Therefore, The length of the diagonal will be 13 feet.

So, Option D is correct.