Clare routinely bicycles across a rectangular parking lot on her way to work. if the lot is 200 ft long and 150 ft wide, how far does clare travel when she rides across the lot diagonally?

The Pythagorean theorem can be used to find the length (c) of the diagaonal given the two side lengths a and b.

c² = a² + b²

c² = (50 ft) ² (4² + 3²)

c = (50 ft) √ (16+9) = 250 ft.

Clare travels 250 ft when she rides across the lot diagonally.