1978 AHSME Problems/Problem 25: Difference between revisions
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==Problem== | ==Problem== | ||
Let <math> | Let <math>a</math> be a positive number. Consider the set <math>S</math> of all points whose rectangular coordinates <math>(x, y )</math> satisfy all of the following conditions: | ||
<math>\text{(i) }\frac{a}{2}\le x\le 2a\qquad \text{(ii) }\frac{a}{2}\le y\le 2a\qquad \text{(iii) }x+y\ge a\\ \\ \qquad \text{(iv) }x+a\ge y\qquad \text{(v) }y+a\ge x</math> | <math>\text{(i) }\frac{a}{2}\le x\le 2a\qquad \text{(ii) }\frac{a}{2}\le y\le 2a\qquad \text{(iii) }x+y\ge a\\ \\ \qquad \text{(iv) }x+a\ge y\qquad \text{(v) }y+a\ge x</math> | ||
Latest revision as of 17:31, 28 August 2023
Problem
Let 
be a positive number. Consider the set 
of all points whose rectangular coordinates 
satisfy all of the following conditions:
The boundary of set is a polygon with
Solution
Draw a picture. The answer is 
.
