Question

1. The rectangle shown is dilated by a scale factor of 2.

(a) Calculate the length of each side of the dilated image. (4 pts)
(b) Draw the original rectangle and then draw the new image beside it. Label the new image . Make sure to use line tools or a ruler if you are drawing by hand. (1 pt)

Answer 1

1. Since the one SHOWN is to be dilated by a factor of 2, our new dimensions are 2x by 2y. We multiply each side length by two to get our new dilated image.

SIDE LENGTHS

AB= 30cm
BD= 16cm

I have a picture of the new dilated image below.

You are welcome! Have a nice day.

Answer 2

New length of the each side of the rectangle after dilation with scale factor of 2 is 30 cm and 16 cm. The image is attached below for dilated rectangle.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

It is given that, the scale factor of dilation is 2.

The length of the rectangle is 15 cm.

The width of the rectangle is 8 cm.

• (a) The length of each side of the dilated image-

As the scale factor of dilation is 2. Thus the length and the width of the given rectangle is enlarged with 2 units.Thus,

The new length of the rectangle is,

l=2*15=30 cm

The new width of the rectangle is,

l=2*8=16 cm

• (b) Draw the original rectangle and then draw the new image beside it. Label the new image-

The image of the dilated image and the original image is attached below. Labeled by A'B'C'D'.

Rectangle shown is dilated by a scale factor of 2 by this the new length of the each side is 30 cm and 16 cm. The image is attached below for dilated rectangle.

Learn more about the scale factor here;

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