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 answer

To find out how much space Robert will have left for his presentation after using the squares, we first need to calculate the total area occupied by the 10 squares with 7-inch sides.

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

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

  3. Calculate the remaining area on the poster board: \[ \text{Area of the poster board} = 720 , \text{square inches} \] \[ \text{Remaining area} = 720 - 490 = 230 , \text{square inches} \]

Alternatively, as per the expression given \( 720 - 10s^2 \):

\[ 720 - 10s^2 = 720 - 10(7^2) = 720 - 10(49) = 720 - 490 = 230 , \text{square inches} \]

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