Question

NO LINKS!!

You want to make a banner that says HAPPY BIRTHDAY. You want the letters to be 3 inches high. You make a sketch of the banner with letters that are 2 inches high. The length of the phrase in your sketch is 20 inches long. What length of paper should you buy to make the banner? ​

Answer 1

30 ft

Explanation:

**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**

Create a ratio of letter height to length of phrase for the sketch and the banner. Let x be the length of the banner.

NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.

Ratio: letter height : length of phrase

Sketch (in inches): 2 : 20

Banner (in feet): 3 : x

Equate the ratios and solve for x:

`\sf \implies 2 : 20 = 3 : x`

`\sf \implies (2)/(20)=(3)/(x)`

`\sf \implies 2x=3 \cdot 20`

`\sf \implies 2x=60`

`\sf \implies x=(60)/(2)`

`\sf \implies x=30`

Therefore the length of paper your should buy to make the banner is 30ft.

Answer 2

30 inches

Explanation:

Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.

For 3-inch letters, the banner length will be 30 inches.