Question

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).
Simplify the expression representing the area of the new raised beds.

three-halves x squared + 4 x
three-halves x squared + 2 x
three-halves x + 4
three-halves x + 2

Answer 1

The simplification form of the expression is 3x²/2 + 2x or three-halves x squared + 2 x option second is correct.

What is the area of the rectangle?

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:

$\rm = \dfrac{1}{2}(3x+4)$

By using the distributive property:

$\rm = \dfrac{1}{2}\times3x^2+\dfrac{1}{2}\times4x$

$\rm = \dfrac{3}{2}x^2+2x$

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:

brainly.com/question/15019502

#SPJ1