Answer
$A=\frac{\sqrt 3}{4} x^2$
Work Step by Step
Since the area $A$ of an equilateral triangle is $\frac{\sqrt 3}{4}$ times the square of the length $x$ of one side, then we have
$$
A=\frac{\sqrt 3}{4} x^2
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.1 Algebra Essentials - A.1 Assess Your Understanding - Page A12: 133
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