Question

A photograph measuring 4" wide × 6" long must be reduced in size to fit a space four inches long in an advertising brochure. How wide must the space be so that the picture remains in proportion?

Answer 1

The proportion of the width to the length of the original photograph is 4:6, which can be simplified to 2:3. To maintain the same proportion, the width of the reduced photograph must also be 2/3 of the length.

Since the length of the space in the brochure is 4 inches, the width of the space must be:

width = (2/3) x length

width = (2/3) x 4

width = 8/3

width ≈ 2.67 inches

Therefore, the width of the space in the brochure should be approximately 2.67 inches to maintain the proportion of the photograph.

Answer 2

If the photograph is 4" wide and 6" long, then the ratio of the width to the length is 4:6, which can be simplified to 2:3. We need to reduce the photograph so that its length fits into a space of 4 inches.

To keep the proportions the same, we need to reduce the width by the same factor. Let's call the new width x. We can set up a proportion:

2:3 = x:4

To solve for x, we can cross-multiply:

2 × 4 = 3 × x

8 = 3x

Dividing both sides by 3, we get:

x = 8/3

So the space must be 8/3 inches wide, or approximately 2.67 inches wide, in order to keep the photograph in proportion.