Question

a classroom is arranged with 30 desks, and the desk density is 0.5 desks per square meter. if the classroom is rectangular and the width is 6 meters, what is the length of the classroom? use the keypad to enter your answer in the box. the classroom has a length of meters.

Explanation:

Step1: Calculate the area of the classroom

We know that density \(=\frac{\text{number of desks}}{\text{area}}\). Given the number of desks \(n = 30\) and density \(d=0.5\) desks per square - meter.
Using the formula \(\text{area}=\frac{\text{number of desks}}{\text{density}}\), we have \(\text{Area}=\frac{30}{0.5}=60\) square meters.

Step2: Calculate the length of the classroom

The area of a rectangle is given by \(A = l\times w\), where \(A\) is the area, \(l\) is the length, and \(w\) is the width. Given \(w = 6\) meters and \(A=60\) square meters.
Using the formula \(l=\frac{A}{w}\), we substitute \(A = 60\) and \(w = 6\) into the formula: \(l=\frac{60}{6}=10\) meters.

Answer:

10