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Maths · Maths: area without double-counting
A rectangular board measures 60 cm by 40 cm. A strip 10 cm wide along the left edge and a strip 10 cm high along the bottom edge are shaded. What is the total shaded area? The shared corner is counted once. Diagram not to scale.
A 60 cm by 40 cm rectangular board. Its left strip is 10 cm wide and its bottom strip is 10 cm high. Their corner overlaps.
Choose one answer.
A700 cm²
B800 cm²
C900 cm²
D1,000 cm²
E1,200 cm²
Show answer and explanation
C: 900 cm²
The bottom strip has area 60 × 10 = 600 cm². Above it, the remaining part of the left strip is 40 − 10 = 30 cm high, so its area is 10 × 30 = 300 cm². Total: 600 + 300 = 900 cm². Adding both full strips would count the 10 × 10 corner twice.
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