Question

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

Answer 1

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!