Answer:
The scale factor is 1/3
Step-by-step explanation:
* Lets explain how to solve the problem
- The scale factor of drawing is a ratio between the drawing
dimensions and the actual dimensions
∵ The actual dimensions of the sign are 2 feet as width and
2 feet 6 inches as length
∵ The dimensions of the flyers are 10 inches and 8 inches
- Now we have the actual dimensions and the drawing
dimensions, so we can find the scale factor of drawing by
dividing the drawing dimensions by the actual dimensions
∵ The width of the sign is 2 feet and the length is 2 feet 6 inches
∵ 1 foot = 12 inches
∴ The width of the sign = 2 × 12 = 24 inches
∴ The length of the sign = 2 × 12 + 6 = 24 + 6 = 30 inches
∴ The actual dimensions are 24 inches and 30 inches
∵ The dimensions of the flyers are 8 inches and 10 inches
∴ The scale drawing = 8/24 = 1/3 OR 10/30 = 1/3
∴ The dimensions of the flyer are 1/3 the dimensions of the sign
- He must multiply each dimension of the sign by 1/3 to get the
dimensions of the flyer
∴ The scale factor is 1/3
