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

580 square inches
580 square inches

230 square inches
230 square inches

9,940 square inches
9,940 square inches

34,790 square inches

1 answer

To find out how much space Robert will have left for his presentation after using squares with 7-inch sides, we first calculate the area of one square and then the total area of the 10 squares.

  1. The area \(s^2\) of one square with side length \(s = 7\) inches is: \[ s^2 = 7^2 = 49 \text{ square inches} \]

  2. The area of 10 squares is: \[ 10s^2 = 10 \times 49 = 490 \text{ square inches} \]

  3. Now, we can find the space left on the poster board by evaluating: \[ 720 - 10s^2 = 720 - 490 \] \[ 720 - 490 = 230 \text{ square inches} \]

Thus, the space Robert will have left for his presentation is 230 square inches.