Question

. If the perimeter of an equilateral triangle is 60 m, then the area is: a. 10√3 sq m b. 15√3 sq m c. 20√3 sq m d. 100√3 sq m

Answer 1

Answer:

d)100√3m^2

Step-by-step explanation:

Formula for perimeter of equilateral

triangle=3a, where 'a' is length of each side

3a=60

a=20m

Formula for area of equilateral

triangle=√3/4×a^2 √3/4×(20)^2 √3/4×400 100√3m^2

Answer 2

Step-by-step explanation:

perimeter of equilateral triangle is 3a

3a = 60

a = 20

area of equilateral triangle is

$( \sqrt{3} \div 4) \times (a) ^{2}$

so, area =

$( \sqrt{3} \div 4) \times (20) ^{2}$

area =

$100( \sqrt{3} )m^{2}$