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Solving for Geometry Word Problems

a. A certain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then.
Questions: How many years has it gone? (use 22/7 for pi)
b. A regular hexagon and an equilateral triangle are equal in area. The perimeter of the triangle is 36.
Question: How long is one side of the hexagon?
c. The base of a certain triangle is increased by 20% and the altitude to that base is decreased by 40%.
Question: By what percent is that area changed? Is It Increased or Decreased?

Solution Preview

a. Since the circumference of the circle is given by pi times the diameter, the distance covered in one revolution is equal to 98(pi) inches. Using 22/7 for pi, we get this value as 308 inches. For 108 revolutions it is equal to 108 x 308 inches. When converted to yards, this ...

Solution Summary

In about 190 words, this solution describes how these geometry word problems can be solved. All required calculations are included.