Question

7 centimeters, and the length of the rectangle is 8 centimeters. which measurement is closest to the diagonal of this rectangle in centimeters?

Explanation:

Step1: Recall Pythagorean theorem

For a rectangle, diagonal $d$ satisfies $d^2 = l^2 + w^2$, where $l=8$ cm, $w=7$ cm.

Step2: Substitute values into formula

$$d^2 = 8^2 + 7^2 = 64 + 49 = 113$$

Step3: Calculate square root of 113

$$d = \sqrt{113} \approx 10.63$$

Answer:

10.63 centimeters