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

User Misco
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1 Answer

23 votes
23 votes

Answer:

8 Meters

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:
A^(2)+B^(2)=C^(2).

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


C^(2)-A^(2)=B^(2)


10^(2)-6^(2)=B^(2)


100-36=B^(2)


64=B^(2)


√(64)=B


8=B

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

Don't forget to use the units!

Hope this helps!

User Adlorem
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