Question

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?

Answer 1

23.3

Explanation:

Answer 2

23.3

(or
`4√(34)` (let me know if you wanted this one and is you want it explained) lol)

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

`√(544) =√(c^2)\\\\√(544) =c\\\\23.324=c\\\\c=23.3`

The fence needs to be approximately 23.3 m.