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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 :

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:

[tex]x^2=15^2+20^2[/tex]

[tex]x^2=225+400[/tex]

[tex]x^2=625[/tex]

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

[tex]\sqrt{x^2}=\sqrt{625}[/tex]

[tex]x=25[/tex]

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

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