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

Answer:

3 ft by 4/3 feet.

Step-by-step 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:

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

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

$\frac{4}{9}\times \text{3 ft}=\frac{\text{Enlarged width}}{\text{3 ft}}\times \text{3 ft}$

$\frac{4}{3}\times \text{ft}=\text{Enlarged width}$

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