The area of an equilateral triangle with side 6sqrt3cm is (a) 27cm^(2) (b) 27sqrt3cm^(2) (c) 18sqrt3cm^(2) (d) 54sqrt3cm^(2)

Formula for area: The formula for the area of an equilateral triangle is (sqrt(3)/4) * side^2.Plug in side length: Plug in the side length: (sqrt(3)/4) * (6sqrt(3))^2.Square side length: Square the side length: (sqrt(3)/4) * (36 * 3).Multiply by 108: Multiply 36 by 3: (sqrt(3)/4) * 108.Final result: Multiply the result by sqrt(3)/4: sqrt(3)/4 * 108 = 27sqrt(3).

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The area of an equilateral triangle with side
6sqrt3cm is
(a)
27cm^(2)
(b)
27sqrt3cm^(2)
(c)
18sqrt3cm^(2)
(d)
54sqrt3cm^(2)

The area of an equilateral triangle with side $6 \sqrt{3} \mathrm{~cm}$ is $\newline$ (a) $27 \mathrm{~cm}^{2}$ $\newline$ (b) $27 \sqrt{3} \mathrm{~cm}^{2}$ $\newline$ (c) $18 \sqrt{3} \mathrm{~cm}^{2}$ $\newline$ (d) $54 \sqrt{3} \mathrm{~cm}^{2}$

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Q. The area of an equilateral triangle with side

6 \sqrt{3} \mathrm{~cm}

\newline

(a)

27 \mathrm{~cm}^{2}

\newline

(b)

27 \sqrt{3} \mathrm{~cm}^{2}

\newline

(c)

18 \sqrt{3} \mathrm{~cm}^{2}

\newline

(d)

54 \sqrt{3} \mathrm{~cm}^{2}

Formula for area: The formula for the area of an equilateral triangle is $\frac{\sqrt{3}}{4} \times \text{side}^2$ .
Plug in side length: Plug in the side length: $(\sqrt{3}/4) \times (6\sqrt{3})^2$ .
Square side length: Square the side length: $\left(\frac{\sqrt{3}}{4}\right) \times (36 \times 3)$ .
Multiply by $108$ : Multiply $36$ by $3$ : $(\sqrt{3}/4) \times 108$ .
Final result: Multiply the result by $\sqrt{3}/4$ : $\sqrt{3}/4 \times 108 = 27\sqrt{3}$ .