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)

1 answer

To find out how much space Robert will have left after using the squares, we start by calculating the area of one square. Since each square has a side length of \( s = 7 \) inches, the area \( A \) of one square is given by:

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

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

\[ \text{Total area of squares} = 10 \times 49 = 490 \text{ square inches} \]

Now, we will subtract the total area of the squares from the area of the poster board:

\[ \text{Remaining area} = 720 - 490 = 230 \text{ square inches} \]

Thus, the amount of space Robert will have left for his presentation is:

\[ \boxed{230} \text{ square inches} \]