RANGER Math practice · Geometry · ages 8+
Free area, perimeter and volume practice
Dog Park Builder, the geometry world in Ranger's Math Trail, starts with perimeter and area of rectangles (the fence around a dog run and the grass inside it), then triangles, then the volume of a box.
Every question has a labeled picture, and every answer says which formula to use and why the units are m, m² or ft³.
Practice area, perimeter and volume now
Pick a level
Free, no sign-up. The game asks your age once, then every answer comes with a hint and a step-by-step Show me how.
How to do it
- Perimeter is the distance around: add all the sides. For a rectangle, 2 × (length + width).
- Area is the space inside: length × width for a rectangle.
- A triangle is half a rectangle: ½ × base × height.
- Volume is the space a box holds: length × width × height.
Worked examples
Example 1What is the area of this triangle? (base 8 m, height 2 m)
- Area of a triangle = ½ × base × height.
- ½ × 8 × 2 = ½ × 16.
- = 8 m². (Square meters, because area covers a surface.)
Answer: 8 m²
Try one like it →Example 2A toy box is 9 ft long, 8 ft wide and 3 ft tall. What is its volume?
- Volume of a box = length × width × height.
- 9 × 8 = 72 (the floor of the box).
- 72 × 3 = 216 ft³. (Cubic feet: how many 1-foot cubes fit inside.)
Answer: 216 ft³
Try one like it →Mistakes to watch for
- Area is in square units (m²) and volume in cubic units (ft³). Perimeter is plain length (m).
- Use the height straight up from the base for a triangle, not the slanted side.
The game
Questions
Do I have to type the units?
No. Type the number; the game shows the units in the answer.
What age is it for?
Area and perimeter start around grade 3 (age 8), triangle area around grade 6, and volume around grade 5 or 6.
More math practice: Addition · Subtraction · Multiplication facts · Division and long division · Place value and rounding · Fractions · Decimals · Percents and ratios · Negative numbers · Order of operations · Exponents and square roots · Solving equations · Slope and linear equations · Systems of equations · Factoring quadratics · Angles · Pythagorean theorem · Circles · Mean, median, mode and range · All math topics