Question

The smaller rectangle was scaled by a factor of 2 to produce the larger figure. use the drop-down menus to show the missing dimensions of the scale figure

Answer 1

Answer:

The dimensions of bigger rectangle is $l_1=12\ in.,\ w_1=4\ in.$

The area of bigger rectangle is $A_1=48\ in.$

Step-by-step explanation:

Consider the provided information.

It is given that the smaller rectangle was scaled by a factor of 2 to produce the larger figure.

Scaled by 2 means we need to multiply the dimension of smaller rectangle by 2 and that will gives us the dimension of the bigger rectangle.

The dimensions of smaller rectangle are:

$l=6\ in.\\w=2\ in.$

Multiply the dimensions by 2 gives us the dimension of the bigger rectangle.

$l_1=6\ in.\times 2=12\ in.\\w_1=2\ in.\times 2=4\ in.$

Hence, the dimensions are $l_1=12\ in.,\ w_1=4\ in.$

The area of the rectangle is:

$A_1=l_1\times w_1=12\times 4=48\ in.$

Hence, the area of bigger rectangle is $A_1=48\ in.$

Answer 2

If the rectangle is scaled by a factor of 2, it means that all of the sides are multiplied by 2. This means the length is changed from 6 to 12, and the width is changed from 2 to 4. The area however, is not 24, but 48, because BOTH the sides doubled.