Question

Darius is a graphic designer he makes a sign for a company that has a width of 2 feet and a length of 2 feet 6 inches the company liked it so much they asked him to make the same design into flyers that are 10 inches by 8 inches its easy to do on darius computer program he must type in the scale factor to change it help darius figure out what is the scale factor explain how you found it using complete sentences use math vocabulary so he knows that he can believe you

Answer 1

Answer:

Scale factor is the ratio of any two corresponding lengths in two similar geometric figures

Length of sign ×scale factor=length of flyer

scale factor = 1:3

Step-by-step explanation:

when you have two figures which are geometric similar, the scale factor is the ratio of their corresponding side's lengths.

To find scale factor you identify the sides that are similar in the figures then get the ratio of their lengths.

Given the dimensions of sign as ;

width= 2 feet--------change to inches by multiplying by 12 (1 foot=12 inches)

width=2*12=24 inches

length= 2feet 6 inches

length= 24+6 =30 inches

Hence the sign has dimensions

width=24 in

length=30 in

Flyers dimensions

width=8 in

length=10 in

Finding Scale factor

length of sign ×scale factor=length of flyer

30×scale factor=10

scale factor=10/30 =1/3 or 1:3