Question

the length of kendras rectangular living - room is 3.6 meters and the distance between opposite corners is 6.2 meters. what is the width of kendras living room? if necessary, round to the nearest tenth.

Explanation:

Step1: Apply Pythagorean theorem

In a rectangle, if the length is $l = 3.6$ meters, the width is $w$, and the diagonal $d=6.2$ meters. According to the Pythagorean theorem $l^{2}+w^{2}=d^{2}$, so $w^{2}=d^{2}-l^{2}$.

Step2: Substitute values

Substitute $l = 3.6$ and $d = 6.2$ into the formula: $w^{2}=6.2^{2}-3.6^{2}=38.44 - 12.96=25.48$.

Step3: Solve for width

$w=\sqrt{25.48}\approx5.0$ meters.

Answer:

$5.0$ meters