Advanced Mathematics Primary 5 Area of Triangle

The figure shows a rectangle containing two identical shaded triangles ADE and BCE. The length of the rectangle is 20 cm and its breadth is 12 cm. What is the total area of the unshaded parts?

A 120 cm²
B 240 cm²
C 60 cm²
D 180 cm²
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Worked Solution

The area of the rectangle = 20 cm × 12 cm = 240 cm². The sum of the base lengths of the two shaded triangles is the length of the rectangle (20 cm). Their height is the breadth of the rectangle (12 cm). Total area of the 2 shaded triangles = 1/2 × sum of bases × height = 1/2 × 20 cm × 12 cm = 120 cm². Area of the unshaded parts = Total area - Area of shaded triangles. Area of unshaded parts = 240 cm² - 120 cm² = 120 cm². Key formula: Area of rectangle = length × breadth; Area of triangle = 1/2 × base × height Answer: 120 cm²

Correct answer: 120 cm²

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