Question

annie measured the floor of her storage unit, which is rectangular. it is 9 meters wide and 15 meters from one corner to the opposite corner. how long is the storage unit? meters

Explanation:

Step1: Apply Pythagorean theorem

Let the length be \( l \), width \( w = 9\), diagonal \( d=15\). By \(d^{2}=l^{2}+w^{2}\), we get \(l^{2}=d^{2}-w^{2}\).

Step2: Substitute values

Substitute \(d = 15\) and \(w = 9\) into \(l^{2}=d^{2}-w^{2}\), so \(l^{2}=15^{2}-9^{2}=225 - 81=144\).

Step3: Solve for \(l\)

Take square root of \(l^{2}=144\), \(l=\sqrt{144}=12\).

Answer:

12