Mhmmm8
contestada

A rectangular garden is 14 feet wide and 48 feet long.
If you stand in one corner of the garden, how many feet
away is the corner diagonally across from you?

Respuesta :

Answer: 50 feet

Step-by-step explanation:

Since it is a rectangle and you in the corner diagonally; you can draw a line diagonally across in the rectangle and you are left with two triangles.

So since its two right-angled triangles

a = 14 feet

b = 48 feet

You need to find c which is the diagonal.

Using the pythagorean theorem which is:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 14^{2} + 48^{2}[/tex]

Square the a and b then add

[tex]c^{2} = 136 + 2304[/tex]

[tex]c^{2} = 2500[/tex]

Now carry over the square on the c and change it to the square root

[tex]c = \sqrt{2500}[/tex]

when you square root

[tex]c = 50[/tex]

therefore it is 50 feet diagonally across