a triangular plot with sides 28 meters, 35 meters n 56 meters is to be surrounded by a fence built on pillars set 7 meters apart, after pillars are placed at each corner, how may additional pillar will be needed ?

1 answer

To calculate the number of additional pillars needed for the fence, we need to determine the length of each side of the triangle that will be formed by the pillars.

The total length of the fence is the sum of the three sides of the triangular plot:
28 + 35 + 56 = 119 meters

Since the pillars are set 7 meters apart, we need to divide the total length by the distance between the pillars to find the number of intervals between the pillars:
119 / 7 = 17 intervals

However, we also need to take into account the pillars at the corners, which would be 3 additional pillars (one at each corner), located at the beginning and end of each side. Therefore, we subtract 3 from the total number of intervals:
17 - 3 = 14 additional pillars

Thus, 14 additional pillars will be needed in addition to the ones placed at each corner.