The simplification form of the expression is 3x²/2 + 2x or three-halves x squared + 2 x option second is correct.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
A community garden with raised beds is being redesigned. The area of the new rectangular beds can be expressed as one-half x (3 x + 4).
The expression:
[tex]\rm = \dfrac{1}{2}(3x+4)[/tex]
By using the distributive property:
[tex]\rm = \dfrac{1}{2}\times3x^2+\dfrac{1}{2}\times4x[/tex]
[tex]\rm = \dfrac{3}{2}x^2+2x[/tex]
Thus, the simplification form of the expression is 3x²/2 + 2x or three-halves x squared + 2 x option second is correct.
Learn more about the rectangle here:
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