Form 7: Geometry and Perimeter Systems Exercise

Form 7: Geometry and Perimeter Systems

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Form 7: Geometry and Perimeter Systems

Solve geometric word problems involving perimeters, side lengths, and dimensions using systems of linear equations.

Questions

  1. MultiChoice

    The perimeter of a rectangle is 60 cm. The length is 6 cm longer than the width. What are the dimensions?

  2. MultiChoice

    A rectangular garden has perimeter 80 m. The length is 10 m more than the width. Find the length.

  3. MultiChoice

    The length of a picture frame is 3 times its width. The perimeter is 64 inches. Find the length and width.

  4. MultiChoice

    Two complementary angles differ by 40 degrees. What are the measures of the two angles?

  5. MultiChoice

    Two supplementary angles have a sum of 180 degrees. One angle is 50 degrees larger than the other. Find the larger angle.

  6. MultiChoice

    An isosceles triangle has perimeter 50 cm. Each equal leg is 4 cm longer than the base. Find the base length.

  7. MultiChoice

    The perimeter of a field is 84 ft. The length is 6 ft more than double the width. Find the length and width.

  8. MultiChoice

    In a right triangle, one acute angle is 18 degrees larger than the other. What are the two acute angles?

  9. MultiChoice

    The perimeter of a rectangle is 40 cm. The length is 3 times the width. Find the length.

  10. MultiChoice

    Two supplementary angles are in the ratio 3:1. What is the measure of the larger angle?

  11. MultiChoice

    A rectangular pool has perimeter 72 m. The length is 8 m longer than the width. Find the length.

  12. MultiChoice

    A triangle has perimeter 45 cm. Side B is 5 cm longer than Side A, and Side C is 10 cm longer than Side A. Find Side A.