Robert is preparing a post 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 720-10s 2when s=7
To find out how much space Robert will have left for his presentation after using the squares with 7-inch sides, we need to calculate the area of the 10 squares he plans to use and subtract that from the total area of the poster board.
Given:
- Each square has a side length of \( s = 7 \) inches.
- The total area of the poster board is \( 720 \) square inches.
- Robert wants to use \( 10 \) squares.
First, calculate the area of a single square with side length \( s \):
\[ \text{Area of one square} = s^2 \]
Since \( s = 7 \) inches, the area of each square is:
\[ \text{Area of one square} = 7^2 = 49 \text{ square inches} \]
Now, find the total area of 10 squares:
\[ \text{Total area of 10 squares} = 10 \times \text{Area of one square} = 10 \times 49 = 490 \text{ square inches} \]
Finally, subtract the area of the 10 squares from the total area of the poster board to find out how much space Robert has left for his presentation:
\[ \text{Space left} = \text{Total area of poster board} - \text{Total area of 10 squares} \]
\[ \text{Space left} = 720 - 490 = 230 \text{ square inches} \]
Robert will have 230 square inches of space left for his presentation after using the squares with 7-inch sides.