SOLUTION: a rectangles length is three times its width. its diagonal is 10 inches. how many inches is it's width?

Question 552088: a rectangles length is three times its width. its diagonal is 10 inches. how many inches is it's width?
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!

In this problem, we have 2 unknowns, and 1 known.

We don't know the length or the width exactly, though we do know how they are related.

We do know the diagonal is 10 inches.

We can solve this by drawing a sketch and using the Pythagorean Theorem!!!

Let L be the length. Let W be the width.

given

length squared plus width squared equals diagonal squared

or

Since lengths MUST be positive, we can discard the second answer of -10.

So it looks like our width is inches.

Then our length is simply inches.

I hope this helps! :)

Email Scott: neatmath@yahoo.com for help with specific problems,

or to inquire about mathematics tutoring via email or other methods.

Paypal is always accepted for single problems or for more intensive tutoring!

Single problems would range from 50 cents to 5 dollars each, depending on the complexity.

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