Question

The dimensions of a block of stamps are 30 cm wide by 20 cm high. The same number of stamps could also have been arranged in a block 24 cm wide. How high would this second block be? Is this relationship a direct or inverse proportion?

a) 16 cm, direct proportion
b) 15 cm, inverse proportion
c) 25 cm, direct proportion
d) 10 cm, inverse proportion

Answer 1

The height of the second block of stamps would be 16 cm, and the relationship between the dimensions of the two blocks is a direct proportion.

Step-by-step explanation:

The relationship between the dimensions of the two blocks of stamps is a direct proportion.

We can use the concept of proportions to find the height of the second block. The first block has dimensions of 30 cm wide by 20 cm high. The second block is 24 cm wide, so we can set up a proportion:

30 cm : 20 cm = 24 cm : x cm

Here, x represents the height of the second block. To solve for x, we can cross-multiply and solve the resulting equation:

30 cm * x cm = 20 cm * 24 cm

30x = 480

x = 480 / 30

x = 16 cm

Therefore, the height of the second block would be 16 cm.