# A diagonal of a square parking lot is 70 meters. How do you find, to the nearest meter, the length of a side of the lot?

##### 1 Answer

Oct 25, 2015

#### Answer:

Side to the nearest meter = 49 meters.

#### Explanation:

The diagonal divides the square into 2 congruent right triangles that share the diagonal as the common hypotenuse. Using the Pythagoras Theorem:

But since the square has 4 equal sides the 2 right triangles are also Isosceles, so we can rewrite the above equation as:

Or:

Substitute 70 meters for c we get:

Solving for a:

Rounding to the nearest meter we get: