Question

find the area of a hexagonal table top with each side 2m

Answer 1

Answer:

Step-by-step explanation:

Area of a hexagonal table top= 3√3/2×s²     s= side

3√3/2×2²

3√3/2×4

3×1.73/2×4

5.19/2×4

5.19×1/2

10.39

The area of the hexagonal table top is 10.39 m.

Answer 2

Given:

Side=2m

To find:

The table top's area

Solution:

The required area is 6√3 $m^{2}$.

We can obtain the area by calculating the area of 6 triangles with equal sides whose sides are equal to the table's side.

The tabletop can be cut into six triangles of equal sides.

So, the required table's area=6×√3/4×$side^{2}$

By putting the side's value, we get

Area=6×√3/4×$2^{2}$

=6×√3/4×4

=6×√3

=6√3 $m^{2}$

Therefore, the required area is 6√3 $m^{2}$.