Question

Q-hexagonal shaped table mat is made by stitching equilateral triangular pieces of cloth. The perimeter of each equilateral triangular piece is 60 cm, find the area of the table mat.(take V3 = 1.73)

(no copied answer by internet else reported)

-best user
-moderators
-brainly ⭐​

Answer 1

Given :-

• hexagonal shaped table mat is made by stitching equilateral triangular pieces of cloth. The perimeter of each equilateral triangular piece is 60 cm.

‏‏‎ ‎

To find :-

• Area of Table mat.

‏‏‎ ‎

Solution:-

• Perimeter of Triangular pieces = 60cm

‏‏‎ ‎

• Perimeter of hexagon = 60 × 6 = 360cm

‏‏‎ ‎

• Side of hexagon = 6 s = 360
• S $\sf = \small \frac{360}{6} \\ \\ \sf \: s = 60$

Then, area of hexagon, ‏‏‎ ‎

‏‏‎ ‎

• $60 \times 360 \times \frac{ \sqrt{3} }{4} \\ \\ \\ = 5400 \sqrt{3} {cm}^{2} \\ \\ \\ 5400 \times 1.73 \\ \\ \\ = 9342 {cm}^{2}$