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
34,790 square inches
34,790 square inches
9,940 square inches
9,940 square inches
580 square inches
To find the area of 10 squares with 7-inch sides, we first find the area of one square by squaring the side length, which is 7. So the area of one square is 7^2 = 49 square inches.
To find the total area of 10 squares, we multiply the area of one square by 10, which gives us 49 * 10 = 490 square inches.
To find how much space is left for the presentation, we subtract the area of the squares from the total area of the poster board:
720 - 490 = 230 square inches.
So the correct answer is 230 square inches.
To find the area of the 10 squares, we need to calculate the area of a single square and then multiply it by 10.
Given that each square has side length s = 7 inches, the area of one square can be found using the formula for the area of a square:
Area = s^2
Substituting s = 7 into the formula, we get:
Area = 7^2 = 49 square inches
Since there are 10 squares, the total area of the 10 squares is:
Total Area of 10 squares = 10 * 49 = 490 square inches
To find the amount of space Robert will have left for his presentation, we need to subtract the area of the squares from the total area of the poster board:
Space left for presentation = Total area of poster board - Total area of 10 squares
Given that the area of the poster board is 720 square inches, we can substitute the values into the equation:
Space left for presentation = 720 - 490 = 230 square inches
Therefore, Robert will have 230 square inches of space left for his presentation.