Question

what is the area if one side is 2x and the other side is 7x + 2?

Answers

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Answered by GPT-4o mini
To find the area of a rectangle, you multiply the lengths of its two sides. In this case, one side is \(2x\) and the other side is \(7x + 2\).

The formula for the area \(A\) of the rectangle is given by:

\[
A = \text{length} \times \text{width} = (2x)(7x + 2)
\]

Now, we can distribute \(2x\) to both terms in the parentheses:

\[
A = 2x \cdot 7x + 2x \cdot 2
\]
\[
A = 14x^2 + 4x
\]

So, the area of the rectangle is:

\[
A = 14x^2 + 4x
\]

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