Question

joel is mailing a large envelope to his cousin. the envelope has pictures inside, so he doesnt want to bend it. the mail slot has the dimensions shown. the dotted line shows the widest part of the slot. what is the maximum width of the mail slot? cm

Explanation:

Step1: Apply Pythagorean theorem

The mail slot is a rectangle. The dotted line is the diagonal of the rectangle. For a rectangle with length \(l = 24\) cm and width \(w=7\) cm, the diagonal \(d\) (maximum width) can be found using the Pythagorean theorem \(d=\sqrt{l^{2}+w^{2}}\).

Step2: Substitute values

Substitute \(l = 24\) and \(w = 7\) into the formula: \(d=\sqrt{24^{2}+7^{2}}=\sqrt{576 + 49}\).

Step3: Calculate

\(\sqrt{576+49}=\sqrt{625}\).

Step4: Find square - root

Since \(25\times25 = 625\), \(\sqrt{625}=25\).

Answer:

25