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

25 feet.

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:

`√(x^2)=√(625)`

`x=25`

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