Question

what is the area of this rectangle?
the area of the rectangle is 34.1b² ft². 68.2b ft. 281.4b² ft². 404.01b² ft².

Explanation:

Step1: Recall the area formula for a rectangle

The area formula for a rectangle is \(A = \text{length}\times\text{width}\). Here, the length \(l = 20.1b\) ft and the width \(w=14b\) ft.

Step2: Substitute the values into the formula

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Step3: Calculate the numerical and variable parts separately

First, calculate \(20.1\times14\): \(20.1\times14=(20 + 0.1)\times14=20\times14+0.1\times14 = 280+1.4=281.4\). Second, calculate \(b\times b=b^{2}\).

Answer:

\(281.4b^{2}\text{ ft}^{2}\) (corresponding to the third option in the multiple - choice list)