Question

A carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other. The area of the rectangular table is represented by the expression (3 x)(one-half x).
A square with sides x. A rectangle with side one-half x and side 3 x.

What is the simplified expression for the area of the rectangular table?

Three-halves x squared
Three-halves x
Five-halves x squared
Five-halves x

Answer 1

The area of a rectangle is given by its length multiplied by its width. So that the expression that represents the area of the rectangle in the given question is  $\frac{3}{2}$ $x^{2}$ squared unit.

A rectangle is a figure that has four straight sides, in which opposite sides are equal.

The area of a rectangle can be determined by the expression;

Area = length x width

Thus considering the given question, the length of the rectangle is tribble to that of the square. And the width of the rectangle is half of that of the square.

So that;

length = 3x

width = $\frac{x}{2}$

Thus,

Area = length x width

        = 3x ($\frac{x}{2}$)

        = $\frac{3}{2}$ $x^{2}$

Therefore, the area of the rectangle is  $\frac{3}{2}$ $x^{2}$ squared unit.

For more clarifications on the area of a rectangle, visit: brainly.com/question/25292087

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