To find the area of a rectangle, you can use the formula:
\[ \text{Area} = \text{length} \times \text{width} \]
In your case, you have:
- Height (h) = \(x + 2\)
- Width (w) = \(x + 6\)
Plugging these expressions into the area formula gives:
\[ \text{Area} = (x + 2)(x + 6) \]
Now, let's expand this expression:
\[ \text{Area} = x(x + 6) + 2(x + 6) \] \[ \text{Area} = x^2 + 6x + 2x + 12 \] \[ \text{Area} = x^2 + 8x + 12 \]
Thus, the area in terms of \(x\) is:
\[ \text{Area} = x^2 + 8x + 12 \]
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