Question

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

34,790 square inches
34,790 square inches

580 square inches
580 square inches

9,940 square inches
9,940 square inches

230 square inches
230 square inches

1 answer

To find out how much space Robert will have left after placing the 10 squares, we first need to calculate the total area occupied by the squares.

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

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

  3. Calculate the remaining area on the poster: \[ 720 - 10s^2 = 720 - 490 = 230 \text{ square inches} \]

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

The correct response is: 230 square inches.