Question

the floor of a rectangular living room is 4 meters by 5.3 meters. what is the distance between opposite corners of the living room? if necessary, round to the nearest tenth. _______ meters

Explanation:

Step1: Apply Pythagorean theorem

Let \(a=4\), \(b=5.3\), \(c\) = diagonal. Formula: \(c=\sqrt{a^2 + b^2}\)

Step2: Calculate squared side lengths

\(4^2 = 16\), \(5.3^2 = 28.09\)

Step3: Sum squared lengths

\(16 + 28.09 = 44.09\)

Step4: Compute square root

\(c=\sqrt{44.09} \approx 6.6\)

Answer:

6.6 meters