Question

A rectangular plot of land is 100 feet long and 50 feet wide. how long is the walkway along the diagonal? round to the nearest foot. a. 75 feet b. 87 feet c. 112 feet d. 150 feet please select the best answer from the choices provided a b c d

Answer 1

c. 112 ft

Explanation:

the diagonal of a rectangle creates a right-angled triangle with a length and a width of the rectangle (the diagonal is the Hypotenuse or baseline).

and this means we can use Pythagoras :

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle).

diagonal² = 100² + 50² = 10000 + 2500 = 12500

diagonal = sqrt(12500) = 111.8033989... ft ≈ 112 ft