Perimeter of a square and an equilateral triangle is equal If the diagonal of the square is 10 radic...........

Quantitative Aptitude ( CCS) Mensuration 2D

Perimeter of a square and an equilateral triangle is equal. If the diagonal of the square is 10√2 cm, then find the area of equilateral triangle?

(400√3)/9

(400√3/7)

(200√3/7)

(200√3)/9

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Explanation:

Answer & Explanation
Answer – (400√3) /9
Explanation :
Diagonal of a square = a√2 = 10√2
so a = 10, perimeter of square = 4*10 = 40 = 3x (x is the length of each side of triangle)
x = 40/3, so are of equilateral triangle = √3/4*40/3*40/3 = (400√3)/9 cm²