Word Problems - Perimeter and Geometry
Apply multi-step equation skills to real-world word problems involving perimeter and geometry concepts.
Questions
-
MultiChoice
A rectangle has length 2(x + 4) and width 4x. If perimeter equals 6x + 16, solve 2(x + 4) = 4x.
-
MultiChoice
Two opposite sides of a parallelogram are 3x + 2 and 2x + 7. Solve 3x + 2 = 2x + 7.
-
MultiChoice
An equilateral triangle has side 4x - 2 and a square has side 3x + 4. Find x if their perimeters match: 3(4x - 2) = 4(3x - 1.5) ... Solve 5x - 3 = 3x + 9.
-
MultiChoice
Two equal sides of an isosceles triangle are 4x - 1 and 2x + 5. Solve 4x - 1 = 2x + 5.
-
MultiChoice
The length of a rectangle is 3x and width is x + 6. If length equals width, solve 3x = x + 6.
-
MultiChoice
Two supplementary angles are 2x + 10 and 3x - 15. If they are equal, solve 2x + 10 = 3x - 15.
-
MultiChoice
A square has side length 2x + 3 and another square has side 3x - 2. Solve 2x + 3 = 3x - 2.
-
MultiChoice
Perimeter of a triangle is 5x + 4 and perimeter of a rectangle is 2x + 13. Solve 5x + 4 = 2x + 13.
-
MultiChoice
The base of a triangle is 4x - 8 and height side is 2x + 4. Solve 4x - 8 = 2x + 4.
-
MultiChoice
Opposite sides of a rectangle are 6x - 2 and 4x + 2. Solve 6x - 2 = 4x + 2.
-
MultiChoice
Two line segments have lengths 3(x + 1) and 2x + 8. Solve 3(x + 1) = 2x + 8.
-
MultiChoice
A regular pentagon side is x + 3 and a regular hexagon side is x + 1. If perimeters match, solve 5(x + 3) = 6(x + 1).