Mathematics: Tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how long does his fence need to be?

Tyler has a rectangular garden measuring 12m by 20

Ответ:

herchellann302

24.01.2022

Mathematics

23.3

(or $4\sqrt{34}$ (let me know if you wanted this one and is you want it explained) lol)

Step-by-step explanation:

To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

$a^{2} +b^{2} =c^{2}$

Insert values:

$12^{2} +20^{2} =c^{2}$

Solve for c:

Evaluate exponents

144+400=c^2

Simplify addition

544=c^2

Find the square root of both

$\sqrt{544} =\sqrt{c^2}\\\\\sqrt{544} =c\\\\23.324=c\\\\c=23.3$

The fence needs to be approximately 23.3 m.

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Tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how long does his fence need to be?

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