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)

Question

Responses

580 square inches
580 square inches

9,940 square inches
9,940 square inches

230 square inches
230 square inches

34,790 square inches ..

Answer 1

To find out how much space Robert will have left on his poster board after using 10 squares with sides of 7 inches, we first need to calculate the area of one square.

The area \( A \) of a square with side length \( s \) is given by the formula: \[ A = s^2 \]

Substituting \( s = 7 \): \[ A = 7^2 = 49 \text{ square inches} \]

Since Robert is using 10 squares, the total area used for the 10 squares is: \[ \text{Total area of squares} = 10 \times 49 = 490 \text{ square inches} \]

Now, we calculate the remaining area on the poster board: \[ \text{Remaining area} = 720 - 490 = 230 \text{ square inches} \]

So, when evaluating \( 720 - 10s^2 \) with \( s = 7 \): \[ 720 - 10(7^2) = 720 - 10(49) = 720 - 490 = 230 \]

Thus, the answer is: 230 square inches.