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primary 5 | Maths
| Area & Volume
One Answer Below
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Date Posted: 6 years ago
Views: 529
Area of rectangle = length SR x breadth RQ
= 10 units
Area of triangle D
= 1/2 x vertical height x SR = 3 units
Since area of triangle D = 3/10 of area of rectangle,
1/2 x vertical height = 3/10 of RQ
Vertical height = 6/10 of RQ = 3/5 of RQ
Since RQ = vertical height of triangle B
+ vertical height of triangle D,
Vertical height of triangle B
= 2/5 of RQ
Triangle B area = 2/5 of RQ x 1/2 x SR
= 2/10 x RQ x SR
= 1/5 x area of rectangle
= 2 units
So 58 cm² = 2 units
1 unit = 29 cm²
Rectangle area = 10 units
= 29 cm² x 10
= 290 cm²
= 10 units
Area of triangle D
= 1/2 x vertical height x SR = 3 units
Since area of triangle D = 3/10 of area of rectangle,
1/2 x vertical height = 3/10 of RQ
Vertical height = 6/10 of RQ = 3/5 of RQ
Since RQ = vertical height of triangle B
+ vertical height of triangle D,
Vertical height of triangle B
= 2/5 of RQ
Triangle B area = 2/5 of RQ x 1/2 x SR
= 2/10 x RQ x SR
= 1/5 x area of rectangle
= 2 units
So 58 cm² = 2 units
1 unit = 29 cm²
Rectangle area = 10 units
= 29 cm² x 10
= 290 cm²
See 1 Answer
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the green lines are the heights of each triangle! hope this helps :)
Date Posted:
6 years ago
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