Question

the floor of a rectangular living room is 7 meters by 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

The distance between opposite corners of a rectangle is the length of its diagonal, calculated using the Pythagorean theorem: $c = \sqrt{a^2 + b^2}$, where $a=7$ m and $b=3$ m.

Step2: Calculate squared side lengths

$7^2 + 3^2 = 49 + 9 = 58$

Step3: Compute square root and round

$\sqrt{58} \approx 7.6$

Answer:

7.6 meters