Question

6. Marcus is setting the corner supports for a new deck that measures 15 feet by 20 feet. To ensure that his deck is a be? perfect rectangle, he measures the diagonals to make sure they are the same. What length should these diagonals be

Answer 1

Answer:

25 feet.

Step-by-step explanation:

Let x represent length of diagonal.

We have been given that Marcus is setting the corner supports for a new deck that measures 15 feet by 20 feet. We are asked to find the length of the diagonal such that Marcus's deck is a perfect rectangle.

We know that each angle of a rectangle is a right angle.

We will use Pythagoras theorem to find the length of diagonal as:

$x^2=15^2+20^2$

$x^2=225+400$

$x^2=625$

Upon taking positive square root of both sides, w e will get:

$\sqrt{x^2}=\sqrt{625}$

$x=25$

Therefore, the length of the diagonals should be 25 feet.