Respuesta :

nkirotedoreen46

Answer:

15 feet

Step-by-step explanation:

The question talks about;

  • A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

  • All the angles in a rectangle are right angles
  • A diagonal divides a rectangle into two right-angled triangles
  • The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

   = 225

c = √225

  = 15

Therefore, the length of the diagonal is 15 feet

The length of the diagonal of that flower bed can be found by using formula for diagonal of a rectangle.

The length of diagonal of given flower bed is 15 feet.

Given that:

  • The flower bed is rectangle.
  • The flower bed is 9 feet wide.
  • The flower bed is 12 feet long.

To find:

Diagonal of that flower bed.

Formula for finding the diagonal of a rectangle with side lengths a units and b units:

[tex]|Diagonal| = \sqrt{a^2 + b^2}[/tex]

For given flower bed, we have a = 9 feet, b  = 12 feet, thus:

[tex]|Diagonal| = \sqrt{9^2 + 12^2} = \sqrt{81+144} = \sqrt{225} = 15 \: \rm feet[/tex]

Thus, the diagonal of flower bed is 15 feet long.

Learn more about length of diagonal of a rectangle here:

https://brainly.com/question/23008020

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