Question

A card is 9 inches by 4 inches. A printing shop will enlarge it so that the longer side is any lengths up to 3 ft. Find the dimensions of the biggest enlargement

Answer 1

3 ft by 4/3 feet.

Explanation:

We have been given that a card is 9 inches by 4 inches. A printing shop will enlarge it so that the longer side is any lengths up to 3 ft. We are asked to find the dimensions of biggest enlargement.

We will use proportions to solve our given problem.

`\frac{\text{Card width}}{\text{Card length}}=\frac{\text{Enlarged width}}{\text{Enlarged length}}`

Upon substituting our given values, we will get:

`\frac{\text{4 inches}}{9 \text{ inches}}=\frac{\text{Enlarged width}}{\text{3 ft}}`

`(4)/(9)=\frac{\text{Enlarged width}}{\text{3 ft}}`

`(4)/(9)* \text{3 ft}=\frac{\text{Enlarged width}}{\text{3 ft}}* \text{3 ft}`

`(4)/(3)* \text{ft}=\text{Enlarged width}`

Therefore, the dimensions of the biggest enlargement would be 3 ft by 4/3 feet.