96.1k views
1 vote
Janet collects stamps and wants to make a collage by placing them next to each other neatly in a 2 1/2 ft by 1 ft poster board. If the stamps are 2 in squares and the poster is completely covered, how many stamps are on the poster?

A) 15
B) 90
C) 120
D) 150

User Timespace
by
7.8k points

1 Answer

1 vote

To find the number of stamps on the poster, we need to calculate the total area of the poster board and then divide it by the area of each stamp.

Given:

Poster board dimensions: 2 1/2 ft by 1 ft

Stamp size: 2 in by 2 in

First, we need to convert the measurements to a common unit. Let's convert everything to inches since the stamp size is given in inches.

1 ft = 12 inches (since 1 foot = 12 inches)

2 1/2 ft = 2 ft + 1/2 ft = 24 inches + 6 inches = 30 inches

Now, we can calculate the area of the poster board:

Area of poster board = Length × Width = 30 inches × 12 inches = 360 square inches

Next, we find the area of each stamp:

Area of each stamp = Length × Width = 2 inches × 2 inches = 4 square inches

Now, we can find the number of stamps on the poster by dividing the total area of the poster board by the area of each stamp:

Number of stamps = Total area of poster board ÷ Area of each stamp = 360 square inches ÷ 4 square inches = 90 stamps

Therefore, there are 90 stamps on the poster.

The correct answer is:

B) 90

User Kendrick
by
8.2k points