A grid is built using toothpicks. The square of the group uses one toothpick on each side. The grid formed is 12 units long and one unit high. How many toothpicks are needed to make the grid? What is the steps if the answer is 37 toothpicks?

Answer 1

To calculate the number of toothpicks needed to make the grid, we first need to determine the total number of squares in the grid. Since each square uses one toothpick on each side, we can calculate the number of toothpicks needed for each square.

In the grid, there are 12 squares along the length of the grid (12 units long) and 1 square along the height of the grid (1 unit high). Therefore, the total number of squares in the grid is 12 x 1 = 12 squares.

Since each square uses 4 toothpicks, the total number of toothpicks needed to make the 12 squares is 12 x 4 = 48 toothpicks.

If the answer is 37 toothpicks, it means that the grid is smaller and has fewer squares. To determine the steps to create a grid with 37 toothpicks, we need to find a possible combination of squares that add up to 37.

One possible combination is a grid with 9 squares along the length (9 units long) and 1 square along the height (1 unit high). This would require 9 x 4 = 36 toothpicks for the squares, and an additional 1 toothpick to complete the remaining sides of the grid, totaling 37 toothpicks.