Question 13 of 22intermediate🔧 ApplyNumerical2 marks

A crane of height 155 cm has its neck and the rest of its body in the ratio 4:6. For your height, if your neck and the rest of the body also had this ratio, how tall would your neck be?

Correct Answer

Given:

  • Ratio of neck : body = 4 : 6
  • Total parts = 4 + 6 = 10

Formula: Fraction for neck = 4/10 = 2/5 = 0.4

Calculation: Neck = (4/10) × H = 0.4H cm

Answer: If your height is H cm, your neck would be 0.4H cm

Example (height = 150 cm): Neck = 0.4×1500.4 \times 150 = 60 cm

Exercise: Figure it Out (Section 4) | Q: 4 | (Page Page 18)
For More Understanding

Explanation

The ratio 4:6 means the neck is 4 parts and the rest of the body is 6 parts, totaling 10 parts. The neck is therefore 4/10 or 2/5 of the total height.

Solution Steps

  1. Step 1: Total parts = 4 + 6 = 10

  2. Step 2: Fraction of height that is neck = 4/10 = 2/5 = 0.4

  3. Step 3: If height = H cm, neck = 0.4 × H cm

  4. Step 4: For a student of height 150 cm: neck = 0.4×1500.4 \times 150 = 60 cm

PreviousNext