Answer:
1836.50 square inches of the bulletin board is NOT covered with art work.
Explanation:
The question focuses on the area covered by the paintings and the board, since area is defined as: the amount of space enclosed within the boundaries of a flat, two-dimensional shape, such as a square, circle, or rectangle.
Step 1: First, we need to know the total area of the five paintings.
- We can assume that every piece of artwork is a rectangle since the dimensions are different and only two dimensions are given.
- Thus, we can find the total area by multiplying the area of one piece of artwork by 5:
- The formula for area of a rectangle is
A = lw, where
- A is the area in square units,
- l is the length,
- and width
We can allow 8.5 to be the length and 11 to be the width:
A = 8.5 * 11
A = 93.5 square inches
Multiplying 93.5 by 5 shows us the the total area covered by the five pieces of artwork is 467.50 square inches as 93.5 * 5 = 467.50
Step 2: Now we need to find the area of the bulletin board.
- We can assume that the board is a square since the dimensions are the same and only two dimensions are given.
- The formula for area of a square is
A = s^2, where
- A is the area in square units,
- and s is the side
48 is s in the area formula:
A = 48^2
A = 2304 square inches
Thus, the area of the bulletin board is 2304 square inches.
Step 3: Finally, subtracting the total area of the five pieces of artwork from the area of the bulletin board will tell us how much of the bulletin board is NOT covered with art work:
2304 - 467.50 = 1836.50 square inches
Thus, 1836.50 square inches of the bulletin board is not covered with art work.