Question

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

Answer 1

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: $A^{2}+B^{2}=C^{2}$.

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

$C^{2}-A^{2}=B^{2}$

$10^{2}-6^{2}=B^{2}$

$100-36=B^{2}$

$64=B^{2}$

$\sqrt{64}=B$

$8=B$

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

Don't forget to use the units!

Hope this helps!