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

230 square inches
230 square inches

580 square inches
580 square inches

9,940 square inches

1 answer

To determine how much space Robert will have left for his presentation, we first need to calculate the area of the 10 squares each with a 7-inch side.

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

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

  3. Subtract the area of the squares from the total area of the poster: \[ 720 - 490 = 230 \text{ square inches} \]

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

The correct response is: 230 square inches.