Question

a rectangular pool is 12 yards long and has a diagonal distance of 16 yards. what is the width of the pool? between 10 and 11 yards 20 yards 4 yards 56 yards

Explanation:

Step1: Apply Pythagorean theorem

Let length $l=12$, diagonal $d=16$, width $w$.
$l^2 + w^2 = d^2$
$12^2 + w^2 = 16^2$

Step2: Calculate squares

$144 + w^2 = 256$

Step3: Solve for $w^2$

$w^2 = 256 - 144 = 112$

Step4: Find $w$

$w = \sqrt{112} \approx 10.58$

Answer:

Between 10 and 11 yards