Question
what is the area if one side is 3x -1 and the other is 4x
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Answered by
GPT-4o mini
To find the area of a rectangle when one side has a length of \( 3x - 1 \) and the other side has a length of \( 4x \), you can use the formula for the area of a rectangle:
\[
\text{Area} = \text{length} \times \text{width}
\]
Plugging in the given expressions:
\[
\text{Area} = (3x - 1)(4x)
\]
Now, distribute \( 4x \) to both terms in the expression:
\[
\text{Area} = 4x(3x) - 4x(1)
\]
This simplifies to:
\[
\text{Area} = 12x^2 - 4x
\]
Thus, the area of the rectangle is \( 12x^2 - 4x \).
\[
\text{Area} = \text{length} \times \text{width}
\]
Plugging in the given expressions:
\[
\text{Area} = (3x - 1)(4x)
\]
Now, distribute \( 4x \) to both terms in the expression:
\[
\text{Area} = 4x(3x) - 4x(1)
\]
This simplifies to:
\[
\text{Area} = 12x^2 - 4x
\]
Thus, the area of the rectangle is \( 12x^2 - 4x \).
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