I can find the area of a regular polygon by decomposing it into triangles.Puedo hallar el área de un polígono regular descomponiéndolo en triángulos.
MissionMisión · Robot LabLaboratorio de robots
Test, measure, improve.Prueba, mide, mejora.
Robot Lab is building sensor plates and floor tiles from regular polygons. Split each plate into triangles from its center, and the area follows.
El Laboratorio de Robots construye placas de sensores y baldosas de piso con polígonos regulares. Divide cada placa en triángulos desde su centro y el área aparece.
Word bankBanco de palabras 5 words5 palabrasregular polygon, decompose, triangle, …polígono regular, descomponer, triángulo, …
- regular polygonpolígono regular
- A flat shape with straight sides where all sides are equal and all angles are equal.Una figura plana de lados rectos donde todos los lados y todos los ángulos son iguales.
- decomposedescomponer
- To break a shape into smaller, simpler shapes.Separar una figura en figuras más pequeñas y simples.
- triangletriángulo
- A shape with three sides. Its area is ½ × base × height.Una figura de tres lados. Su área es ½ × base × altura.
- compositecompuesto
- Made by putting two or more simple shapes together.Formado al juntar dos o más figuras simples.
- formulafórmula
- A math rule written with symbols.Una regla matemática escrita con símbolos.
Stage 1 of 5Etapa 1 de 5
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- A square and a regular hexagon both have side length 6. Each is split from its center into congruent triangles. The hexagon's triangles have height about 5.2. Predict which shape has the greater area and why. Then set the model's side length to 6 to check the square. Say how many triangles each shape has and how that affects the total.
- A triangle has a base of 12 cm and a height of 7 cm. What is its area?
- 84 cm²
- 42 cm²
- 19 cm²
- 42 cm
- Which of these shapes is a regular polygon?
- A rectangle that is not a square
- A rhombus that is not a square
- A square
- A triangle with sides of 3 cm, 4 cm and 5 cm
- A robot scans 8 identical sectors of a floor. Each sector is 6.3 m². What is the total area scanned?
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- A regular hexagon is divided into 6 equal triangles from the center. Each triangle has a base of 6 ft and a height of 5.2 ft. What is the area of one triangle? Use the given heights; nonsquare heights are rounded, so their areas are estimates.
- 11.2 sq ft
- 15.6 sq ft
- 15.6 ft
- 31.2 sq ft
- A regular hexagonal skylight has 6 central triangles, each with base 6 ft and rounded height 5.2 ft. Using those measurements, what is the approximate total area?
- 15.6 sq ft
- 62.4 sq ft
- 93.6 sq ft
- 187.2 sq ft
- A regular hexagon is split into 6 triangles, each with base 4 cm and height 3.5 cm. What is the total area? Use the given heights; nonsquare heights are rounded, so their areas are estimates.
- 14 sq cm
- 21 sq cm
- 42 sq cm
- 84 sq cm
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- Complete the table: find one central triangle’s area and the polygon’s total area. Use the given rounded heights for estimates; the square dimensions are exact.
- Match each polygon to its total area. Use the given heights; nonsquare heights are rounded, so their areas are estimates.
- A square with side length 10 ft is divided from its center into 4 congruent triangles. Its total area is 100 sq ft. Plot the height of one central triangle.
- What is the best next move?
- Multiply 12 × 8.3 and call that the area of the pentagon.
- Say the pentagon splits into 4 triangles.
- Find the area of one triangle: ½ × 12 × 8.3.
- Use 12 as the height of the triangle: ½ × 12 × 12.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 5 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- What is the area of one center triangle?
- 7.5 sq ft
- 11 sq ft
- 15 sq ft
- 30 sq ft
- What is the total floor area of the octagon?
- 15 sq ft
- 40 sq ft
- 120 sq ft
- 360 sq ft
- What will the flooring cost?
- $45
- $120
- $360
- $960