Question

a rectangular bookcase 60 inches long and 30 inches wide. how long is the diagonal? round to the nearest inch. a. 52 inches b. 67 inches c. 76 inches d. 81 inches please select the best answer from the choices provided a b c d

Explanation:

Step1: Apply Pythagorean theorem

For a rectangle, diagonal $d = \sqrt{l^2 + w^2}$, where $l=60$, $w=30$.

Step2: Calculate squared side lengths

$60^2 = 3600$, $30^2 = 900$

Step3: Sum the squared values

$3600 + 900 = 4500$

Step4: Compute square root

$\sqrt{4500} \approx 67.08$

Step5: Round to nearest inch

$67.08 \approx 67$

Answer:

B. 67 inches