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 34,790 square inches 34,790 square inches 230 square inches 230 square inches 580 square inches

1 answer

To find out how much space Robert will have left for his presentation after placing the squares, we start by calculating the area occupied by the squares.

First, let's determine the area of one square with a side length of \( s = 7 \) inches:

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

Next, since Robert plans to use 10 squares, we calculate the total area occupied by the 10 squares:

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

Now, we will calculate how much space will be left on the poster board by subtracting the area occupied by the squares from the total area of the poster board:

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

Calculating that gives:

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

Thus, Robert will have 230 square inches left for his presentation after using the squares. The correct answer is:

230 square inches