Question

the length of felipes rectangular living room is 12 meters and the distance between opposite corners is 13 meters. what is the width of felipes living room? meters

Explanation:

Step1: Apply Pythagorean theorem

Let the width be \( w \). In a rectangle, \( l^{2}+w^{2}=d^{2}\), where \( l = 12\), \( d = 13\). So \( 12^{2}+w^{2}=13^{2}\).

Step2: Simplify the equation

\( 144+w^{2}=169\). Then \( w^{2}=169 - 144\).

Step3: Calculate \( w^{2}\)

\( w^{2}=25\).

Step4: Find \( w\)

\( w=\sqrt{25}\).

Answer:

\( 5\)