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Algebra
Question

Area of an Equilateral Triangle The area of an eq...

Area of an Equilateral Triangle The area of an equilateral tri- angle with sides of length \(x\) is given by the function defined by \(A ( x ) = \frac { \sqrt { 3 } } { 4 } x ^ { 2 }\) .

(a) Find \(A ( 2 x )\) , the function representing the area of an equilateral triangle with sides of length twice the original length.

(b) Find the area of an equilateral triangle with side length \(16\) . Use the formula \(A ( 2 x )\) found in part (a).

Answer

\(\text { (a) } A ( 2 x ) = \sqrt { 3 } x ^ { 2 } \quad \text { (b) } 64 \sqrt { 3 } \text { square units }\)

Solution
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