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)

Question

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

Answer 1

To find the amount of space Robert will have left for his presentation after using squares with 7-inch sides, we first need to calculate the area of one square, then the area of 10 squares.

1. The area 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, subtract the area of the squares from the total area of the poster board: $$720-10s^2=720-490=230\text{ square inches}$$

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