Arectangle with an area of 8 ft² is dilated by a factor of 4. what is the area of the dilated rectangle?
1) 12 ft
2) 32 ft
3) 64 ft
4) 128 ft

he required area of dilated rectangle is x = 128ft.

Given that,

The area of a rectangle = 8 ft²,

And its dilated with factor of 4 .

We have to find ,

Area of the dilated rectangle.

According to the question,

The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object).

When the absolute value of the scale factor is greater than one, an expansion occurs.

Let, z the scale factor,

x the area of the dilated rectangle,

y the area of the original rectangle,

Scale factor(z) = Dimension of the new shape(x)  ÷ Dimension of the original shape(y).

Then ,

Hence , The required area of dilated rectangle is x = 128ft.

For more information about Dilated factor click the link given below.

link

Option 4)

Step-by-step explanation:

we know that

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

Let

z------> the scale factor

x-----> the area of the dilated rectangle

y----> the area of the original rectangle

so

we have

substitute and solve for x

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week

did you get the answer yet?

step-by-step explanation: