Vivax Solutions

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Algebra Word Problems
- complex questions -

  1. The perimeter of a rectangle is 150 cm.  The length of the rectangle is twice the width.  Find the area of the rectangle.
  2. The perimeter of a rectangle is 58 cm.  The length of the rectangle is 5m more than the width.  Find the length and width of the rectangle.
  3. The width of a rectangle is 40% of the length.  The perimeter is 240 cm. Find the area of the rectangle.
  4. The perimeter of a triangle is 39 cm.  One side of the triangle is 1 cm longer than the second side.  The third side is 2 cm longer than the second side. Find the length of the longest and shortest side.
  5. The sum of three consecutive numbers is 63. Find the largest number.
  6. In an isosceles triangle, two sides are equal.  The third side is 2 cm less than one of the equal sides.  The perimeter is 16 cm.  Find the length of each side.
  7. The perimeter of a triangle is 30 cm.  The length of the first side is 1 m less than twice the length of the second side.  The length of the third side is 1 cm more than twice the length of the second side.  Find the length of each side.
  8. The perimeter of a rectangle is 36 cm.  The length of the rectangle is 3 m less than twice the width.  Find the length and area of the rectangle.
  9. In an isosceles triangle, two sides are equal.  The length of the third side is 25% of the length of one of the equal sides.  Find the length of each side when the perimeter is 135 cm.
  10. The perimeter of a triangle is 130 cm.  One side is twice the second side.  The third side is 30 cm more than the second side. Find the length of each side.
  11. The sum of two numbers is two. The difference between eight and twice the smaller number is two less than four times the larger. Find the two numbers.
  12. The master  is fifteen years older than his dog. Ten years ago, he was four times as old as the dog was then. What is the present age of the dog ?
  13. The sum of two bicycles is 12 years. Two years ago, the age of the older bicycle was three times the age of younger bicycle was then. Find the age of two bicycles.
  14. Three kids are born into a family at three-year intervals. Three years ago, the sum of their ages was 39. Find the age of the children at present.
  15. Find three consecutive odd numbers so that the sum of the first and last is twice the second.   
  16. The base of a triangle is 3 times the height. Its area is 54 cm2. Find the perimeter.
  17. Two planes leave an airport and move towards a second one, that is 900 km apart. The speed of the first plane is twice as fast as the second plane. The first plane arrives at the airport, 3 hours earlier than the second. Find the speed of each plane.
  18. The equation of a straight line is 2y = 3x + 9. A second line, that is parallel to the first line, goes through (4,5). Find the equation of the second line.
  19. The equation of a straight line is 3y = -2x + 7. Find the equation of the second line that is at right angles to the first line, passing through (4,-3).
  20. The sum of two numbers is 24. Twice the smaller number is three less than the larger number. Find the product of numbers..