Difference between revisions of "2005 AMC 8 Problems/Problem 4"
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Revision as of 16:12, 24 December 2012
Problem
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
$\textbf{(A)}\ 24\qquad\textbf{(B)}\ 25\qquad\textbf{(C)}\ 36\qquad\textbf{(D)}\ 48\qquad\textbf{(E)}\64$ (Error compiling LaTeX. Unknown error_msg)
Solution
The perimeter of the triangle is 
cm. A square's perimeter is four times its sidelength, since all its sidelengths are equal. If the square's perimeter is 
, the sidelength is 
, and the area is 
.
See Also
| 2005 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
