Question 11 of 14beginner🔧 ApplyNumerical2 marks

Find the area of a rhombus whose diagonals are 20 cm and 15 cm.

Correct Answer

Given: Diagonals d₁ = 20 cm and d₂ = 15 cm. Formula: Area = ½ × d₁ × d₂ Substitution: Area = ½ × 20×1520 \times 15 Calculation: Area = ½ × 300 Answer: 150 cm²

Exercise: Figure it Out (Section 5) | Q: 1 | (Page Page 22)
For More Understanding

Explanation

The chapter derives the formula for area of a rhombus as ½ × product of diagonals. This formula comes from dividing the rhombus into four right triangles using the diagonals.

Solution Steps

  1. Step 1: Given diagonals d₁ = 20 cm and d₂ = 15 cm.

  2. Step 2: Apply the formula: Area = ½ × d₁ × d₂.

  3. Step 3: Area = ½ × 20×1520 \times 15 = ½ × 300.

  4. Step 4: Area = 150 cm².

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