Level 5-6 Shapes - Perimeter and Area

1. In many formulas you will see the letter h which stands for 'height'. What would be a more correct term for 'height'?

   • Perpendicular height
   • Perpetrator height
   • Perpetual height
   • Perplexing height

2. Is a square also a rectangle?

   • Yes
   • No
   • It depends on the length of its sides
   • It depends on its surface area

3. If a parallelogram has a perpendicular height of 7 cm and a base of 11 cm, what is its area?

   • 49 cm²
   • 121 cm²
   • 77 cm²
   • It is impossible to say

4. If a parallelogram has a perpendicular height of 7 cm and a base of 11 cm, what is its perimeter?

   • 44 cm
   • 28 cm
   • 36 cm
   • It is impossible to say

5. What is the area of a triangle that has a base of 37 cm and a perpendicular height of 28 cm?

   • 518 cm²
   • 1,063 cm²
   • 1,360 cm²
   • 1,630 cm²

6. If the area of a triangle is 420 cm² and its perpendicular height is 30 cm, what is the length of its base?

   • 24 cm
   • 26 cm
   • 28 cm
   • 32 cm

7. The two parallel sides of a trapezium have lengths 10 cm and 20 cm, and the distance between them is 15 cm. What is the area of this trapezium?

   • 150 cm²
   • 200 cm²
   • 225 cm²
   • 250 cm²

8. A garden is in the shape of a trapezium and it has an area of 1,500 metres². One of the parallel sides is 40 metres long and the other parallel side is 60 metres long. What is the distance between the parallel sides?

   • 20 metres
   • 30 metres
   • 40 metres
   • 50 metres

9. Archie says that the area of a rhombus of side length 12 cm is the same as that of a square of side 12 cm. Is he right?

   • Always
   • Never
   • Sometimes
   • It depends on dimensions

10. If a rhombus has a base of 1.2 metres and a perpendicular height of 0.8 metres, what is its area?

    • 0.64 m²
    • 0.80 m²
    • 0.96 m²
    • 1.44 m²

Quiz written by Colin King