iGCSE Mathematics (0580) - C2.5 Equations- Exam Style Questions Paper 3- New Syllabus

(a)
The perimeter is just the total distance around the edge. Add the three sides together:
$(2x – 5) + (2x + 2) + (4x – 9)$
Combine like terms: $2x + 2x + 4x = 8x$, and $-5 + 2 – 9 = -12$.
✅ Answer: $8x – 12$

(b)
Set your expression equal to $40$ and solve for $x$:
$8x – 12 = 40 \Rightarrow 8x = 52 \Rightarrow x = 6.5$.
✅ Answer: $x = 6.5$

(c)
First, find the lengths of the base and height using $x = 6.5$.
Base = $2(6.5) + 2 = 15$. Height = $2(6.5) – 5 = 8$.
Area = $\frac{1}{2} \times \text{base} \times \text{height} = 0.5 \times 15 \times 8 = 60$.
✅ Answer: $60$ cm²