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Question
primary 5 | Maths
| Area & Volume
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What fraction of the figure is shaded?
Date Posted: 6 years ago
Views: 516
Area of the 102cm² △
= ½ x rectangle length x △'s vertical height
Area of 90cm² △
= ½ x rectangle length x △'s vertical height
Combined area
= 102cm² + 90cm²
= 192cm²
= ½ x rectangle length x combined vertical height of the two △
= ½ x rectangle length x rectangle breadth
(The sum of their vertical heights is equal to the breadth of the rectangle)
= ½ x area of rectangle.
Area of rectangle = 192cm² x 2
= 384cm²
Shaded area = 384cm² - 192cm² - 114cm²
= 78cm²
Fraction = 78/384
= 13/64
= ½ x rectangle length x △'s vertical height
Area of 90cm² △
= ½ x rectangle length x △'s vertical height
Combined area
= 102cm² + 90cm²
= 192cm²
= ½ x rectangle length x combined vertical height of the two △
= ½ x rectangle length x rectangle breadth
(The sum of their vertical heights is equal to the breadth of the rectangle)
= ½ x area of rectangle.
Area of rectangle = 192cm² x 2
= 384cm²
Shaded area = 384cm² - 192cm² - 114cm²
= 78cm²
Fraction = 78/384
= 13/64
See 1 Answer
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Hope you understand why areas A plus B is half of e rect.
Date Posted:
6 years ago
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