Find the area of the following rectangle (the figure is not drawn to scale)

Step-by-step explanation:

It's a rectangle. Therefore the opposite sides are congruent.

We have the equation:

2x + 4 = 12              subtract 4 from both sides

2x = 8       divide both sides by 2

x = 4

Put the value of x to the expression 4x + 1:

4(4) + 1 = 16 + 1 = 17

Therefore we have the rectangle with dimesions 17 × 12.

The area of the rectangle:

A = (17)(12) = 204

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