Question

A ractanglur garden has a length of 45yards and a width of 28 yards. A diagonal path runs from one end of the garden to the other. How long is the diagonal path?

Answer 1

53 yards

Explanation:

The Pythagorean theorem says the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. A diagonal cuts a rectangle into to right triangles. The sides of the rectangle constitute the legs of the right triangle, and the diagonal of the rectangle is the hypotenuse.

Since ...

d² = 45² + 28²

then ...

d = √(45² +28²) = √2809 = 53 . . . . yards

The length of the diagonal path is 53 yards.