Area of Triangles & Quadrilaterals — Drills
Area of Triangles & Quadrilaterals has 5 drill skills. Each one generates fresh questions every time, with a hint and full worked steps, so you can keep practising a single skill until it settles.
What these drills cover
These questions use 8 ideas from the course. Follow any of them for a definition, where it is taught, and what it leads to.
- Perimeter — Distance all the way around the outside.
- Area — Space inside, measured in square units.
- Parallel — Same slope, different intercept.
- Parallelogram — A quadrilateral with both pairs of opposite sides parallel.
- Trapezoid — A quadrilateral with exactly one pair of parallel sides.
- Base — Any side of a triangle, chosen as the one to measure from.
- Height — The perpendicular distance from the base to the opposite corner.
- Cubic unit — A cube one unit on every edge.
Triangle
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Find the area of a triangle with base 12 and height 10.
Worked answer
60
12 × 12 × 10 = 60
Problem 2
Find the area of a triangle with base 16 and height 8.
Worked answer
64
12 × 16 × 8 = 64
Parallelogram
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Find the area of a parallelogram with base 13 and height 6.
Worked answer
78
13 × 6 = 78
Problem 2
Find the area of a parallelogram with base 3 and height 4.
Worked answer
12
3 × 4 = 12
Trapezoid
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Find the area of a trapezoid with parallel sides 3 and 9 and height 7.
Worked answer
42
3+92 = 6
6 × 7 = 42
Problem 2
Find the area of a trapezoid with parallel sides 9 and 13 and height 7.
Worked answer
77
9+132 = 11
11 × 7 = 77
Working backwards
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
A triangle has area 20 and base 5. Find its height.
Worked answer
8
12 × 5 × h = 20
h = 8
Problem 2
A triangle has area 24 and base 8. Find its height.
Worked answer
6
12 × 8 × h = 24
h = 6
Composite figures
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
An L-shape is a 9 by 9 rectangle with an 3 by 4 corner removed. Find its area.
Worked answer
69
9 × 9 = 81
3 × 4 = 12
81 - 12 = 69
Problem 2
An L-shape is a 11 by 7 rectangle with an 2 by 4 corner removed. Find its area.
Worked answer
69
11 × 7 = 77
2 × 4 = 8
77 - 8 = 69