Dan fenced a rectangular piece of land measuring 15 m and 31 m. He used six strands of wire, leaving a space of 5 m for the gate. What was the total length of the wire used?

6*(2(15+31)-5)

To find the total length of the wire used, we need to calculate the perimeter of the rectangular piece of land.

The perimeter of a rectangle is calculated by finding the sum of all its sides. In this case, the rectangle has two sides measuring 15 m and two sides measuring 31 m.

The length of the wire used for the top and bottom sides of the rectangle can be calculated as follows:

Wire length for the top and bottom = 2 × (length + gate space)
= 2 × (15 m + 5 m)
= 2 × 20 m
= 40 m

Similarly, the length of the wire used for the left and right sides of the rectangle can be calculated as follows:

Wire length for the left and right sides = 2 × (width + gate space)
= 2 × (31 m + 5 m)
= 2 × 36 m
= 72 m

Now, we can find the total length of the wire used by adding the lengths of the wire used for all sides:

Total length of wire used = Wire length for the top and bottom + Wire length for the left and right sides
= 40 m + 72 m
= 112 m

Therefore, the total length of wire used by Dan to fence the rectangular piece of land is 112 meters.