Question

A rectangle has the dimensions shown. Which kind of expression represents the area of the rectangle?

Answer 1

Answer:

Quadratic expression

Step-by-step explanation:

We are given a rectangle with the dimensions $3x+2$ and $6x-1$.

We know that:

Area of a rectangle = length x width

Therefore, we will put in the given values of the length and width of the rectangle to find it area.

Area of rectangle = $(3x+2)(6x-1)$

=$18x^2-3x+12x-2$

=$18x+9x-2$

So we can say that the area of this rectangle is represented by a quadratic expression.

Answer 2

Answer:

$S=(6x-1)(3x+2)\:\:  or\:\:   S=18x^2+12x-3x-2$

Step-by-step explanation:

1) Since the Surface of a Rectangle is found by S=base*height We can find it by the product of value of the base times the height.

$S=b*h\Rightarrow S=(6x-1)(3x+2)\Rightarrow S=18x^2+12x-3x-2\Rightarrow S=18x^{2}+9x-2$

This quadratic equation can be written either in factors or in its expanded mode.