Question

victorias bedroom is rectangular. the length of one wall of victorias bedroom is 20 feet. the length from one corner of the bedroom to the diagonally opposite corner is 25 feet. what is the length of the other wall? feet

Explanation:

Step1: Apply Pythagorean theorem

Let the length of one wall be $a = 20$ feet, the diagonal be $c=25$ feet, and the length of the other wall be $b$. According to the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, so $b^{2}=c^{2}-a^{2}$.

Step2: Substitute values

Substitute $a = 20$ and $c = 25$ into the formula $b^{2}=c^{2}-a^{2}$. We get $b^{2}=25^{2}-20^{2}=625 - 400=225$.

Step3: Solve for $b$

Take the square - root of both sides. Since $b>0$, $b=\sqrt{225}=15$ feet.

Answer:

15