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Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

Respuesta :

prestonshelton
Hello!

You can use the Pythagorean Theorem

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

c is the diagonal length
a and b are the other side lengths

Put in the values you know

[tex]24^{2} + 45^{2} = c^{2} [/tex]

Square each of the numbers

[tex]576 + 2025 = c^{2} [/tex]

Add

[tex]2601 = c^{2} [/tex]

Take the square root of both sides

c = 51

The answer is 51

Hope this helps!

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