Question

Jason is mowing a flat, rectangular lawn that is 20 feet wide and 36 feet long. About how many feet long is the diagonal of the lawn. Round your answers to. The nearest foot

Answer 1

37=c

Explanation:

We can find this by using the Pythagorean theorem

The width and the lengths are the legs of the triangle. The diagonal is the hypotenuse.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

20^2 +36^2 = c^2

400 +1296 = c^2

1336 = c^2

Take the square root of each side

sqrt(1336) = sqrt(c^2)

Since c has to be positive since it is a length

36.55133377 = c

Rounding to the nearest foot

37=c