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

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.

Answer 2

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

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

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.* 2=12\ in.\\w_1=2\ in.* 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* w_1=12* 4=48\ in.`

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