The figure shows a rectangle containing two identical shaded triangles. The length of the rectangle is 20 cm and its breadth is 12 cm. What is the total area of the unshaded parts?
Show Worked Solution
Worked Solution
Step 1: The area of the rectangle = 20 cm × 12 cm = 240 cm².
Step 2: The sum of the base lengths of the two shaded triangles is the length of the rectangle (20 cm).
Step 3: Their height is the breadth of the rectangle (12 cm).
Step 4: Total area of the 2 shaded triangles = 1/2 × sum of bases × height = 1/2 × 20 cm × 12 cm = 120 cm².
Step 5: Area of the unshaded parts = Total area - Area of shaded triangles.
Step 6: Area of unshaded parts = 240 cm² - 120 cm² = 120 cm².
Answer: 120 cm²
Correct answer: 120 cm²
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free