Mensuration of 2D Shapes

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Q1. What is the area of a rhombus with diagonals of 8 cm and 6 cm?

Solution:

Area = (d1 × d2) / 2 = (8 cm × 6 cm) / 2 = 24 cm².

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Q2. What is the area of a square with a side length of 4 cm?

Solution:

Area = side² = 4 cm × 4 cm = 16 cm².

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Q3. What is the area of a parallelogram with a base of 10 cm and a height of 5 cm?

Solution:

Area = base × height = 10 cm × 5 cm = 50 cm².

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Q4. What is the area of a triangle with a base of 10 cm and a height of 6 cm?

Solution:

Area = 1/2 × base × height = 1/2 × 10 cm × 6 cm = 30 cm².

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Q5. What is the area of a parallelogram with a base of 8 cm and a height of 3 cm?

Solution:

Area = base × height = 8 cm × 3 cm = 24 cm².

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Q6. What is the area of a rectangle with length 8 cm and width 5 cm?

Solution:

Area = length × width = 8 cm × 5 cm = 40 cm².

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Q7. What is the area of a parallelogram with a base of 12 cm and a height of 5 cm?

Solution:

Area = base × height = 12 cm × 5 cm = 60 cm².

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Q8. What is the area of a trapezoid with bases of 8 cm and 5 cm, and a height of 4 cm?

Solution:

Area = 1/2 × (base1 + base2) × height = 1/2 × (8 cm + 5 cm) × 4 cm = 26 cm².

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Q9. What is the perimeter of a rectangle with length 12 cm and width 5 cm?

Solution:

Perimeter = 2(length + width) = 2(12 cm + 5 cm) = 34 cm.