Question

The smaller rectangle was scaled by a factor of 3 to produce the larger figure. Use the drop-down menus to show the missing dimensions of the scaled figure.

Answer 1

The first one is 45 yards, the second one is 27 yards, and the last one is 1,215 yards.

Explanation:

I got this by just guessing :)

Answer 2

Part 1)

`L_1=18\ in`

`W_1=6\ in`

Part 2)
`A_1=108\ in^2`

Explanation:

The picture of the question in the attached figure

Part 1) Find the dimensions of the larger figure

step 1

we know that

The dilation is a non rigid transformation that produce similar figures

In this problem the smaller rectangle and the larger rectangle are similar

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

To find out the dimensions of the larger rectangle, multiply the dimensions of the smaller rectangle by the scale factor

The scale factor is 3

so

`L_1=3(6)=18\ in`

`W_1=3(2)=6\ in`

step 2

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

so

To find out the area of the larger rectangle, multiply the area of the smaller rectangle by the scale factor squared

so

`A_1=(3^2)(12)=108\ in^2`