Final answer:
To find the area of the rectangle, you need to multiply its length (2x+2) by its width (4x+3). You can use the distributive property to simplify the expression and find the quadratic equation. Solve for x and substitute it back into the expressions to calculate the area.
Step-by-step explanation:
To find the area of a rectangle, you need to multiply its length by its width. In this case, the expression 2x+2 represents the length and the expression 4x+3 represents the width.
To multiply the expressions, you can use the distributive property: (2x + 2)(4x + 3) = 2x * 4x + 2 * 4x + 2x * 3 + 2 * 3.
Simplifying this expression will give you a quadratic equation that you can solve for x. Once you find the value of x, you can substitute it back into the expressions and calculate the area of the rectangle.
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