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

230 square inches
230 square inches

580 square inches
580 square inches

34,790 square inches
34,790 square inches

1 answer

To find out how much space Robert will have left for his presentation after using the 10 squares, we need to evaluate the expression \( 720 - 10s^2 \) when \( s = 7 \).

First, calculate \( s^2 \):

\[ s^2 = 7^2 = 49 \]

Next, multiply \( s^2 \) by 10 to find the total area occupied by the 10 squares:

\[ 10s^2 = 10 \times 49 = 490 \]

Now, subtract this area from the total area of the poster board:

\[ 720 - 490 = 230 \]

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

The correct response is:

230 square inches