Question

You plan to build a path along one diagonal of a 100 ft-by 100 ft square garden. To the nearest foot, how longwill the path be?✓Submit

Answer 1

Question:

Solution:

The problem situation can be described in the following diagram:

If we look at the lower triangle, we have the following diagram:

Therefore, our goal would be to find the hypotenuse x of the above right triangle. For this purpose, we can use the Pythagorean theorem:

`x\text{ = }\sqrt[]{100^2+100^2}\text{ = }\sqrt[]{10000\text{ + 10000}}\text{ = }\sqrt[]{20000\text{ }}\text{ = 141.42}`

Thus, we can conclude that the length of the path is:

`x\text{ = 141.42}`