The perimeter of an equilateral triangle is `60 m`. The area is

Options

A. `10sqrt3" "m^(2)`
B. `15sqrt3" "m^(2)`
C. `20sqrt3" "m^(2)`
D. `100sqrt3" "m^(2)`

Answer

D

Explanation

Let each side of an equilateral be `x.`
Then, perimeter of an equilateral triangle `= 60 m`
`therefore x+x+x=60rArr3x=60rArrx(60)/(3)=20m`
`"Area of an equilateral triangle"=(sqrt3)/(4)("Side")^(2)=(sqrt3)/(4)xx20xx20=100sqrt3 m^(2)`
`"Thus, the area of triangle is"" "100sqrt3m^(2)`.