Question

cassie measured the floor of her storage unit, which is rectangular. it is 4 feet wide and 6 feet from one corner to the opposite corner. how long is the storage unit? if necessary, round to the nearest tenth. feet submit

Explanation:

Step1: Apply Pythagorean theorem

Let the length be \(l\), width \(w = 4\) feet and diagonal \(d=6\) feet. By Pythagorean theorem \(d^{2}=l^{2}+w^{2}\), so \(l^{2}=d^{2}-w^{2}\).
Substitute \(d = 6\) and \(w = 4\): \(l^{2}=6^{2}-4^{2}\).

Step2: Calculate \(l^{2}\)

\(l^{2}=36 - 16=20\).

Step3: Find \(l\)

\(l=\sqrt{20}\approx4.5\) (rounded to the nearest tenth).

Answer:

\(4.5\)