Question

pams bedroom is rectangular. the length of one wall of pams bedroom is 3 meters. the length from one corner of the bedroom to the diagonally opposite corner is 5.6 meters. what is the length of the other wall? if necessary, round to the nearest tenth. meters

Explanation:

Step1: Apply Pythagorean theorem

Let the length of one wall be $a = 3$ meters, the length of the other wall be $b$, and the diagonal be $c=5.6$ meters. According to the Pythagorean theorem $a^{2}+b^{2}=c^{2}$, so $b^{2}=c^{2}-a^{2}$.

Step2: Substitute values

Substitute $a = 3$ and $c = 5.6$ into the formula: $b^{2}=5.6^{2}-3^{2}=31.36 - 9=22.36$.

Step3: Solve for $b$

Take the square - root of both sides: $b=\sqrt{22.36}\approx4.7$.

Answer:

$4.7$