Charlie found a logo on a poster that he wants to put on his business card. The logo on the poster is a
rectangle that is 12 inches wide and 18 inches long. He wants the business card logo to have a width of 2/3 inch How long should the logo be on the business card if it is similar to the logo on the poster?
2/3 / 12 = 1/18
12:18 = 12/18 : 18/18 = 2/3 : 1
so 1 inch long
thank you
To find out how long the logo on the business card should be, we can use the concept of similar figures.
Given:
Width of the logo on the poster = 12 inches
Length of the logo on the poster = 18 inches
Width of the logo on the business card = 2/3 inch
Since the logo on the business card is similar to the logo on the poster, the ratio of corresponding sides must be the same. We can set up a proportion to find the length of the logo on the business card:
(Width of logo on business card) / (Width of logo on poster) = (Length of logo on business card) / (Length of logo on poster)
Substituting the given values:
(2/3) / 12 = (Length of logo on business card) / 18
To solve for the length of the logo on the business card, we can cross multiply and then divide:
(2/3) * 18 / 12 = Length of logo on business card
(2 * 18) / (3 * 12) = Length of logo on business card
36 / 36 = Length of logo on business card
Length of logo on business card = 1 inch
Therefore, the length of the logo on the business card should be 1 inch.
To determine the length of the logo on the business card, we need to use the concept of similarity. Similar figures have proportional sides.
First, let's find the scale factor between the width of the poster logo and the width of the business card logo. The scale factor can be calculated by dividing the width of the business card logo (2/3 inch) by the width of the poster logo (12 inches).
Scale factor = Width of business card logo / Width of poster logo
Scale factor = (2/3 inch) / (12 inches)
Now, we can use the scale factor to find the length of the logo on the business card. We multiply the scale factor by the length of the poster logo.
Length of business card logo = Scale factor x Length of poster logo
Length of business card logo = (2/3 inch / 12 inches) x 18 inches
By calculating this expression, we find that the length of the logo on the business card should be approximately 1 inch.