Let’s solve each triangle area step by step.
We’re told:
> The area of a right triangle is half the area of the rectangle that would surround it.
So for each triangle:
1. Count how many blocks wide (base) and tall (height) the surrounding rectangle is.
2. Multiply base × height to get the rectangle’s area.
3. Divide by 2 — that’s the triangle’s area.
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Problem 1:
Triangle fits in a rectangle that is 2 blocks wide and 8 blocks tall.
Rectangle area = 2 × 8 = 16
Triangle area = 16 ÷ 2 =
8
Problem 2:
Rectangle: 1 block wide, 6 blocks tall → 1×6 = 6
Triangle area = 6 ÷ 2 =
3
Problem 3:
Rectangle: 7 blocks wide, 4 blocks tall → 7×4 = 28
Triangle area = 28 ÷ 2 =
14
Problem 4:
Rectangle: 3 blocks wide, 5 blocks tall → 3×5 = 15
Triangle area = 15 ÷ 2 =
7.5
Problem 5:
Rectangle: 6 blocks wide, 5 blocks tall → 6×5 = 30
Triangle area = 30 ÷ 2 =
15
Problem 6:
Rectangle: 4 blocks wide, 9 blocks tall → 4×9 = 36
Triangle area = 36 ÷ 2 =
18
Problem 7:
Rectangle: 5 blocks wide, 6 blocks tall → 5×6 = 30
Triangle area = 30 ÷ 2 =
15
Problem 8:
Rectangle: 9 blocks wide, 3 blocks tall → 9×3 = 27
Triangle area = 27 ÷ 2 =
13.5
Problem 9:
Rectangle: 4 blocks wide, 6 blocks tall → 4×6 = 24
Triangle area = 24 ÷ 2 =
12
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Final Answer:
1. 8
2. 3
3. 14
4. 7.5
5. 15
6. 18
7. 15
8. 13.5
9. 12
Parent Tip: Review the logic above to help your child master the concept of finding the area of a triangle worksheet.
