Question

a rectangular window is 3 ft long and 2 ft wide. christine would like to buy a screen for the window. the cost of the screen is based on the number of square inches the screen is. use the facts to find the area of the window in square inches.

Explanation:

Step1: Convert length and width from feet to inches

Since \(1\) foot \( = 12\) inches, for the length \(l = 3\) ft, \(l=3\times12 = 36\) in. For the width \(w = 2\) ft, \(w = 2\times12=24\) in.

Step2: Calculate the area of the rectangle

The area formula of a rectangle is \(A=l\times w\). Substitute \(l = 36\) in and \(w = 24\) in into the formula: \(A=36\times24\). Using the multiplication \(36\times24=(30 + 6)\times24=30\times24+6\times24=720+144 = 864\)

Answer:

\(864\)