A square game board measures 16 inches on each side. The game board is divided into smaller squares measuring 2 inches on a side. How many small squares are there on the game board?

My answer is 16x16 = 256 x 2=512, then I 16/2 = 8 and 512/8 = 64. Is this correct if so is there a simpler way to work this problem. also am I looking for area or perimeter first?

you are correct. A simpler way might be to note that since the board is 16x16, you can fit 8 of the small squares on a side. So, counting just the small squares, the board is now 8x8 or 64 small squares.

You need the perimeter first to figure how many small squares on a side.

To calculate the number of small squares on the game board, you need to find the area of the game board.

The area of a square can be found by multiplying the length of one side by itself. In this case, the length of each side of the square game board is 16 inches. Therefore, the area of the game board is 16 x 16 = 256 square inches.

Since the smaller squares are 2 inches on each side, you can calculate the number of small squares by dividing the total area of the game board by the area of each small square.

So, the number of small squares would be 256 square inches / 2 square inches = 128 small squares.

Therefore, there are 128 small squares on the game board.

Your initial calculation is not correct. You multiplied the length of one side of the game board by 16, which is an incorrect step. Additionally, you divided 16 by 2, but this step does not contribute to finding the number of small squares.

In this problem, you are looking for the area first, as you need to know the size of the game board before calculating the number of small squares.

To find the number of smaller squares on the game board, you need to determine the number of squares that fit in each row and column of the larger square.

You correctly determined that the game board is a 16x16 square, and each smaller square measures 2x2. To calculate how many small squares fit in each row and column, you can divide the length of the larger square by the length of the smaller square.

In this case, 16 divided by 2 equals 8. So there are 8 small squares in each row, and also in each column of the larger square.

To find the total number of small squares on the game board, you can then multiply the number of small squares in each row (8) by the number of small squares in each column (also 8).

8 x 8 equals 64.

So, there are 64 small squares on the game board.

In terms of whether you are looking for the area or perimeter, in this case, you are looking for the area. The area is the measure of the amount of space inside a two-dimensional object, which applies to finding the number of small squares on the game board.