Question

A company uses a sketch to plan an advertisement on the side of a building. The lettering on the sketch is 3/4 inch tall. In the actual advertisement, the letters must be 34 times as tall. How tall will the letters be on the building?

Answer 1

`25(1)/(2)\text{ inches}`

Explanation:

We have been given that a company uses a sketch to plan an advertisement on the side of a building. The lettering on the sketch is 3/4 inch tall.

We are also told that in the actual advertisement, the letters must be 34 times as tall.

To find the height of the letters on the building, we will multiply 34 by 3/4 inch.

`\text{Height of the letters on the building}=34*(3)/(4)\text{ inch}`

`\text{Height of the letters on the building}=(34*3)/(4)\text{ inches}`

`\text{Height of the letters on the building}=(102)/(4)\text{ inches}`

`\text{Height of the letters on the building}=(51)/(2)\text{ inches}`

`\text{Height of the letters on the building}=25(1)/(2)\text{ inches}`

Therefore, the letters on the building would be
`25(1)/(2)\text{ inches}`.

Answer 2

`25(1)/(2)` inch

Explanation:

size of letters on the sketch= 3/4 inch

size of letter on the on the advertisement = 34 times that on the sketch

= 34×3/4= 102/4 inch

=
`25(1)/(2)` inch

therefore the size of letters on the advertisement =
`25(1)/(2)` inch