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Q1. What is the length of the diagonal of a rectangle with length 12 cm and width 5 cm?
Solution:
Using Pythagorean theorem: diagonal = √(length² + width²) = √(12² + 5²) = √(144 + 25) = √169 = 13 cm.
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Q2. What is the perimeter of a rectangle with length 8 cm and width 3 cm?
Solution:
Perimeter = 2(length + width) = 2(8 + 3) = 2 * 11 = 22 cm.
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Q3. What is the area of a circle with a diameter of 14 cm?
Solution:
Radius = diameter/2 = 14/2 = 7 cm. Area = πr² = π(7)² = 49π cm².
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