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4. A rectangular garden 6 meters wide has a diagonal measuring 10 meters. Find the length of the garden.

Sagot :

DexterTheWulfidn

Answer:

8 Meters

Step-by-step explanation:

Even though you're looking for the length for a rectangular garden, you are actually using the Pythagorean Theorem for this since the question provides you a width and a diagonal for the rectangle.

To find the length you must use the formula: [tex]A^{2}+B^{2}=C^{2}[/tex].

You are already provided with the width, A, and the diagonal, C. So, you must find the second leg (or length) by using:

[tex]C^{2}-A^{2}=B^{2}[/tex]

[tex]10^{2}-6^{2}=B^{2}[/tex]

[tex]100-36=B^{2}[/tex]

[tex]64=B^{2}[/tex]

[tex]\sqrt{64}=B[/tex]

[tex]8=B[/tex]

So, B=8, meaning you found the length of 8 meters.

Don't forget to use the units!

Hope this helps!

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