Robert is preparing a poster-board presentation. He wants to make a decorative pattern with 10 squares to fill part of the poster. The area of the poster board is 720 square inches. To find how much space Robert will have left for his presentation if he uses squares with 7-inch sides, evaluate 720 − 10s2 when s = 7.(1 point)
Responses
230 square inches
230 square inches
580 square inches
580 square inches
34,790 square inches
34,790 square inches
9,940 square inches
9,940 square inches
To find how much space is left on the poster board, we need to subtract the area of the 10 squares from the total area of the poster board.
The formula for the area of a square is A = s^2, where s is the side length.
When s = 7, the area of each square is 7^2 = 49 square inches.
So the total area of the 10 squares is 10 * 49 = 490 square inches.
To find the remaining space, we subtract the area of the squares from the total area of the poster board:
720 - 490 = 230 square inches.
Therefore, Robert will have 230 square inches left for his presentation.
wrong
I apologize for the mistake. Let's find the correct answer.
The formula for the area of a square is A = s^2, where s is the side length.
When s = 7, the area of each square is 7^2 = 49 square inches.
So the total area of the 10 squares is 10 * 49 = 490 square inches.
To find the remaining space, we subtract the area of the squares from the total area of the poster board:
720 - 490 = 230 square inches.
Therefore, Robert will have 230 square inches left for his presentation.
To find out how much space Robert will have left for his presentation, we need to subtract the total area covered by the squares from the total area of the poster board.
Given that the side length of each square is 7 inches and there are 10 squares, we can find the total area covered by the squares by multiplying the side length by itself and then multiplying the result by the number of squares. So, the total area covered by the squares is:
10 * (7 * 7) = 490 square inches
Now, to find the space Robert will have left for his presentation, we subtract the total area covered by the squares from the total area of the poster board:
720 - 490 = 230 square inches
Therefore, Robert will have 230 square inches left for his presentation.
So, the correct answer is: 230 square inches.
To find out how much space Robert will have left for his presentation, we need to calculate the area of the 10 squares and subtract it from the area of the poster board.
First, let's calculate the area of one square:
Area = side × side
Since the side of each square is 7 inches, the area of one square is:
Area = 7 inches × 7 inches = 49 square inches
Since Robert wants to make 10 squares, the total area of the squares is:
Total Area of Squares = 10 squares × 49 square inches/square = 490 square inches
The area of the poster board is given as 720 square inches.
To find the space Robert will have left for his presentation, we subtract the total area of the squares from the area of the poster board:
Space Left = Area of Poster Board - Total Area of Squares
Space Left = 720 square inches - 490 square inches
Now, let's substitute s = 7 into the equation:
Space Left = 230 square inches
Therefore, Robert will have 230 square inches of space left for his presentation.