Question

Each side length of the rectangle is multiplied by 1/3. Describe the change in the area. Justify your answer.

Answer 1

area will be decreased by 1/9

Answer 2

Answer:

The change in the area is  the new area is 1/9 of the original area

Step-by-step explanation:

Let the length of the rectangle be x

Let width of rectangle be y

Area of rectangle = $Length \times Width$

So, area of given rectangle = $xy$

Now Each side length of the rectangle is multiplied by 1/3

So,  $x \rightarrow \frac{x}{3}$

$y \rightarrow \frac{y}{3}$

So, new area =  $\frac{x}{3}\times \frac{y}{3}$

                      =  $\frac{1}{9}\times xy$

So, the new area is 1/9 of the original area

Hence the change in the area is  the new area is 1/9 of the original area