Question

what is the area of this rectangle?
the area of the rectangle is

Explanation:

Step1: Recall the area formula for a rectangle

The area formula for a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width.

Step2: Substitute the given values into the formula

Here, \(l = 20.1b\) ft and \(w=14b\) ft. So \(A=(20.1b)\times(14b)\).

Step3: Multiply the coefficients and the variables separately

First, multiply the coefficients: \(20.1\times14 = 281.4\). Then, multiply the variables: \(b\times b=b^{2}\).

Step4: Combine the results

So \(A = 281.4b^{2}\) ft².

Answer:

\(281.4b^{2}\) ft² (the third option).