Question

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

9,940 square inches
9,940 square inches

580 square inches
580 square inches

230 square inches
230 square inches

34,790 square inches

Answer 1

To determine how much space Robert will have left after using the squares, we first need to calculate the area of one square with a side length of 7 inches, and then find the total area of 10 such squares.

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

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

3. **Calculate the remaining area on the poster board**:
\[
\text{Remaining area} = 720 - 10s^2 = 720 - 490 = 230 \text{ square inches}
\]

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

**Final answer**: 230 square inches.