1989 AHSME Problems/Problem 17

Problem

The perimeter of an equilateral triangle exceeds the perimeter of a square by $1989 \ \text{cm}$ . The length of each side of the triangle exceeds the length of each side of the square by $d \ \text{cm}$ . The square has perimeter greater than 0. How many positive integers are NOT possible value for $d$ ?

$\text{(A)} \ 0 \qquad \text{(B)} \ 9 \qquad \text{(C)} \ 221 \qquad \text{(D)} \ 663 \qquad \text{(E)} \ \infty$

Solution

1989 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 16	Followed by Problem 18
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 • 26 • 27 • 28 • 29 • 30
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

Page

Toolbox

Search

1989 AHSME Problems/Problem 17

Problem

Solution

See also