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

9,940 square inches
9,940 square inches

230 square inches
230 square inches

34,790 square inches
34,790 square inches

1 answer

To evaluate how much space Robert will have left, we first need to calculate the area of one square with a side length of 7 inches. The area of a square is given by the formula:

\[ \text{Area} = s^2 \]

where \( s \) is the length of the side. So:

\[ s^2 = 7^2 = 49 \text{ square inches} \]

Since Robert is using 10 squares, the total area occupied by the squares is:

\[ 10s^2 = 10 \times 49 = 490 \text{ square inches} \]

Now, we can find out how much space Robert will have left by subtracting the total area of the squares from the area of the poster board:

\[ 720 - 10s^2 = 720 - 490 = 230 \text{ square inches} \]

Thus, the correct answer is:

230 square inches.