EASY GRADE 9 MATH HELP!

Question

The ratio of length to width of a flag of Canada is 2:1.

Assume you have a flag that is 12cm wide.

a) What are the dimensions of an image of the flag that has a scale factor of 3.5?

b) What are the dimensions of an image of the flag that has a scale factor of 0.75?

 

We are currently learning about scale factors and similarity, if that helps at all. Thank you!

Answer 1

Hi Megan;

FIRST, the length to width...

12 cm is the width.

ratio of length to width is 2:1

length:12 cm wide

24 cm length:12 cm wide

 

(a)

x=width of image

3.5(x)=12 cm

Let's divide both sides by 3.5 as we proceed to isolate x...

[3.5(x)]/3.5=(12 cm)/3.5

x=3.4 cm

 

y=length of image

3.5(y)=24 cm

Let's divide both sides by 3.5...

[3.5(y)]/3.5=(24 cm)/3.5

y=6.8

 

Let's verify...

2:1

6.8:3.4

6.8 is double 3.4

 

(b)

x=width of image

0.75(x)=12 cm

x=16

 

y=length of image

0.75(y)=24 cm

y=32

 

2:1

32:16