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primary 6 | Maths | Geometry
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Date Posted: 3 years ago
Views: 177
J
J
3 years ago
Ratio of length : breadth : difference

= 12 : 5 : (12 - 5)

= 12 : 5 : 7

Length = 17cm + 2 radius
Breadth = 3cm + 2 radius

Difference = 17cm + 2 radius - 3cm - 2 radius

= 17cm - 3cm + 2 radius - 2 radius
= 14cm

So 7 units = 14cm

1 unit = 14cm ÷ 7
= 2cm
J
J
3 years ago
Length = 12 units
= 12 x 2cm
= 24cm

Since length = 17cm + 2 radius,

Then 2 radius = 24cm - 17cm
= 7cm

1 radius = 7cm ÷ 2
= 3.5cm
J
J
3 years ago
Combined length of the straight sides of the figure

= 17cm + 17cm + 3cm + 3cm

= 40cm

Combined circumference of 4 quarter circles

= Circumference of 1 whole circle

= 2πr

= 2 x 3.14 x 3.5cm

= 21.98cm

Perimeter of figure

= 21.98cm + 40cm

= 61.98cm

= 62.0cm (1 d.p)

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Joylene Allyssa Chen's answer
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J
J
3 years ago
It should be 61.98cm ≈ 62.0cm instead.
J
J
3 years ago
@Xuan Ya see the main comments section for a non-algebra method. This method is more suited for secondary level than PSLE