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 s = 7. (1 point) 10s2 when

230 square inches

9,940 square inches

34,790 square inches

580 square inches

1 answer

To determine the space Robert will have left after using the squares, we can follow these steps:

  1. Calculate the area of one square with a side length of 7 inches. \[ \text{Area of one square} = s^2 = 7^2 = 49 \text{ square inches} \]

  2. Calculate the total area of the 10 squares. \[ \text{Total area of 10 squares} = 10 \times 49 = 490 \text{ square inches} \]

  3. Now, subtract the area occupied by the squares from the total area of the poster board to obtain the remaining space. \[ \text{Remaining area} = \text{Total area of poster} - \text{Total area of squares} \] \[ \text{Remaining area} = 720 - 490 = 230 \text{ square inches} \]

Thus, after using squares with 7-inch sides, Robert will have 230 square inches of space left for his presentation.