# How do you find the length of the diagonal of a rectangle whose length is 6 meters and whose width is 4 meters in simple radical form?

##### 1 Answer

**The length of the diagonal is #2sqrt13# meters or about #7.21# meters in decimal form (rounded to nearest hundredth's place).**

#### Explanation:

The diagonal of a rectangle plus two adjacent sides make a triangle. That "diagonal" is the same as the hypotenuse in a right triangle. Since we have the length and width and want the hypotenuse, we can use the Pythagorean Theorem shown below to solve it:

Following this image, we know that

Simplify the left hand side:

Take the square root of both sides:

#c = sqrt(4 * 13)

**The length of the diagonal is #2sqrt13# meters or about #7.21# meters in decimal form (rounded to nearest hundredth's place).**

Hope this helps!