Question

you have 50 square solar panels to install on a rectangular section of a roof. each solar panel covers 1 square meter. if the roof section is 10 meters long, what is the maximum possible width of the roof section that can accommodate all panels? use the keypad to enter your answer in the box. the maximum possible width of the roof section is meters.

Explanation:

Step1: Calculate the total area

Since there are 50 solar panels and each covers 1 square meter, the total area \(A = 50\times1=50\) square meters.

Step2: Use the rectangle area formula

The area formula for a rectangle is \(A = l\times w\), where \(l = 10\) meters (length) and \(A = 50\) square meters. We need to find \(w\). Rearranging the formula gives \(w=\frac{A}{l}\).
Substitute \(A = 50\) and \(l = 10\) into the formula: \(w=\frac{50}{10}\).

Step3: Compute the width

\(w = 5\)

Answer:

5