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primary 6 | Maths
| Geometry
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Hi. Pls help me with this qn.
Tia
2 squares' area = ⅔ of shaded rectangle's area
Notice that the two squares joined together, form an unshaded rectangle.
So this rectangle's area also = ⅔ of shaded rectangle's area
This rectangle has the same length as the shaded one. But since it has ⅔ of the shaded rectangle's area, it means that its breadth is ⅔ of the shaded rectangle's.
So its breadth = ⅔ x 6cm = 4cm
But the breadth is also equal to the side of a square. So 1 side of a square = 4cm
Length of unshaded rectangle = 2 sides of a square
= 4cm x 2
= 8cm
These two rectangles form a large rectangle.
Breadth = 8cm (equal to length of the two smaller rectangles)
Length = sum of the two rectangles' breadths
= 4cm + 6cm
= 10cm
Total area
= 10cm x 8cm
= 80cm²
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