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## Question

primary 6 | Maths
| Ratio

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= 3 : 5

Difference = 5 units - 3 units = 2 units

Area of whole rectangle also

= shaded rectangle + unshaded rectangle

= 35cm² + 4 units

Area of whole triangle also

= shaded triangle + unshaded triangle

= 35cm² + 1 unit

Difference = 3 units

Since difference is the same either way we calculate it, we have to make the units the same.

3 units x 2 = 6 units

2 units x 2 = 6 units

So ratio of Area of whole triangle : whole rectangle = 3 x 3 : 5 x 3 = 9 : 15

So ratio of Area of shaded triangle : shaded rectangle = 1 x 2 : 4 x 2 = 2 : 8

Shaded area = 15 units - 8 units = 7 units

Shaded area also = 9 units - 1 unit = 7 units

So 7 units = 35cm²

1 unit = 35cm² ÷ 7 = 5cm²

Area of rectangle = 15 units = 15 x 5cm²

= 75cm²

Length of rectangle = 75cm² ÷ 6cm

= 12.5cm

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