edengonzalez33
edengonzalez33 edengonzalez33
  • 08-05-2020
  • Mathematics
contestada

a square has a perimeter of 36 ft. what is the lenght of the diagonal , to the nearest foot?

Respuesta :

hxu001
hxu001 hxu001
  • 08-05-2020

Answer:

13 feet

Step-by-step explanation:

Since it is a square and the perimeter is 36 feet, each side is equal to 36feet/4, 9 feet. To find the diagonal use the Pythagorean Theorem.

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

[tex]9^{2}+9^{2}=c^{2}[/tex]

81+81=[tex]c^{2}[/tex]

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

Square root both sides

c=12.728

To the nearest foot, it equals 13 feet.

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