Question 17 of 19intermediate🔧 ApplyNumerical2 marks

The height of a giraffe is two and a half metres more than half its height. How tall is the giraffe?

Correct Answer

Given: Let the height be hh metres. The height equals 2.5 metres more than half its height.

Formula: h=h2+2.5h = \frac{h}{2} + 2.5

Calculation: Subtract h2\frac{h}{2}: h2=2.5\frac{h}{2} = 2.5 Multiply by 2: h=5h = 5 metres

Verification: Half of 5 metres = 2.5 metres 2.5 + 2.5 = 5 metres

Answer: The giraffe is 5 metres tall.

Exercise: Figure it Out (Section 3) | Q: 15 | (Page Page 25)
For More Understanding

Explanation

Let the height be hh metres. The height equals 2.5 metres more than half its height: h=h2+2.5h = \frac{h}{2} + 2.5. Subtracting h2\frac{h}{2}: h2=2.5\frac{h}{2} = 2.5. Multiplying by 2: h=5h = 5 metres.

Solution Steps

  1. Step 1: Let height = hh metres

  2. Step 2: Form equation: h=h2+2.5h = \frac{h}{2} + 2.5

  3. Step 3: Subtract h2\frac{h}{2}: h2=2.5\frac{h}{2} = 2.5

  4. Step 4: Multiply by 2: h=5h = 5 metres

PreviousNext