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primary 6 | Maths
| Fractions
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Both shaded regions are the same overlapping region.
Ratio of unshaded to shaded of triangle is 2 : 3. Ratio of shaded to unshaded of rectangle is 4 : 3. Because the shaded areas are actually equal, the “3” for the shaded portion of the triangle and the “4” for the shaded portion of the rectangle must be made the same. We make this number 12.
Unshaded : shaded for triangle is 8 : 12.
Unshaded : shaded for rectangle is 12 : 9.
Ratio of shaded part to total unshaded parts is
Since the shaded part is 399 cm2,
12 units = 399 cm2
1 unit = 33.25 cm2
Total area of triangle and triangle (NOT the figure, but the triangle plus the rectangle)
= 8 units + 12 units + 12 units + 9 units
= 41 units
= 41 x 33.25
= 1363.25 cm2
See 1 Answer
- item unchanged【overlap area】