Difference between revisions of "2005 AMC 8 Problems/Problem 4"
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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? | 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? | ||
| − | <math> \textbf{(A)}\ 24\qquad\textbf{(B)}\ 25\qquad\textbf{(C)}\ 36\qquad\textbf{(D)}\ 48\qquad\textbf{(E)}\64 </math> | + | <math> \textbf{(A)}\ 24\qquad\textbf{(B)}\ 25\qquad\textbf{(C)}\ 36\qquad\textbf{(D)}\ 48\qquad\textbf{(E)}\ 64 </math> |
==Solution== | ==Solution== | ||
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==See Also== | ==See Also== | ||
{{AMC8 box|year=2005|num-b=3|num-a=5}} | {{AMC8 box|year=2005|num-b=3|num-a=5}} | ||
| + | {{MAA Notice}} | ||
Latest revision as of 22:04, 15 November 2013
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?
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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
