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Area of triangles · 3 problems
From the 15Q20M Grade 6 workbook (Days 64–72) · Pencil, no calculator
Name:
- 1.
A triangle has base 9 and height 8. What is its area?
Answer:
- 2.
A triangular flag has area 24 square inches and height 6 inches. What is the base?
A4 inches
B8 inches
C12 inches
D16 inches
- 3.
A composite polygon is split into a 7 × 5 rectangle and a triangle with base 7 and height 4. What is the total area?
Answer:
Answer key (for parents)
Answer key: Area of triangles
- 1.
36
A rectangle with base 9 and height 8 is 9 × 8 = 72. The triangle is half of it: ½ × 72 = 36.
- 2.
B (8 inches)
Double the area first: 2 × 24 = 48 is the rectangle. 48 ÷ 6 = 8, so the base is 8 inches. Check: ½ × 8 × 6 = 24.
- 3.
49
Find each piece and add. The rectangle is 7 × 5 = 35. The triangle is ½ × 7 × 4 = 14. Total: 35 + 14 = 49.
Equivalent answers count as correct: 2/4 for 1/2, 0.5 for 1/2, and so on.
For parents
Answer key: Area of triangles
- 1.
36
A rectangle with base 9 and height 8 is 9 × 8 = 72. The triangle is half of it: ½ × 72 = 36.
- 2.
B (8 inches)
Double the area first: 2 × 24 = 48 is the rectangle. 48 ÷ 6 = 8, so the base is 8 inches. Check: ½ × 8 × 6 = 24.
- 3.
49
Find each piece and add. The rectangle is 7 × 5 = 35. The triangle is ½ × 7 × 4 = 14. Total: 35 + 14 = 49.
Equivalent answers count as correct: 2/4 for 1/2, 0.5 for 1/2, and so on.