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

230 square inches
230 square inches

580 square inches
580 square inches

34,790 square inches
34,790 square inches

9,940 square inches

Answer 1

To find out how much space Robert will have left after using the squares, we first need to calculate the area occupied by the 10 squares with sides of 7 inches.

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

2. Calculate the total area occupied by 10 squares: $$10s^2=10\times 49=490\text{ square inches}$$

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

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