How many matchsticks are needed for a 6 × 6 design?

A) 42 B) 72 C) 40 D) 84

C)40

Are you asking how many matchsticks are needed to create a 6x6 grid? Draw a diagram to help solve the problem.

To determine the number of matchsticks needed for a 6 x 6 design, we need to consider the number of horizontal and vertical lines the design will have.

In a 6 x 6 design, there will be 6 horizontal lines and 6 vertical lines. Each line requires 2 matchsticks (one at each end).

Therefore, the total number of matchsticks needed is calculated by multiplying the number of horizontal lines (6) by 2, and adding it to the multiplication of the number of vertical lines (6) by 2.

Total matchsticks needed = (Number of horizontal lines x 2) + (Number of vertical lines x 2)

Plugging in the numbers:

Total matchsticks needed = (6 x 2) + (6 x 2)
= 12 + 12
= 24 + 12
= 36

Therefore, the correct answer is not C) 40 but rather B) 72.