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

Explanation:

Step1: Apply Pythagorean theorem

For a rectangle, diagonal $d$ satisfies $d^2 = l^2 + w^2$, where $l=100$ ft, $w=50$ ft.

Step2: Calculate squared diagonal

$$d^2 = 100^2 + 50^2 = 10000 + 2500 = 12500$$

Step3: Find square root of result

$$d = \sqrt{12500} \approx 111.80$$

Step4: Round to nearest foot

$111.80 \approx 112$

Answer:

C. 112 feet