The perimeter of a rhombus is 56 m and its height is 5 m. Its area is

### Concept & Logic A rhombus is a specific type of parallelogram. Therefore, you can use the standard parallelogram area formula (Base $\times$ Height) if you know the side length and the perpendicular height. $$\text{Side} = \frac{\text{Perimeter}}{4}$$ $$\text{Area} = \text{Base (Side)} \times \text{Height}$$ ### Step-by-Step Solution 1. **Find the base (side length) of the rhombus:** Since all 4 sides of a rhombus are equal: Side $= 56 / 4 = 14 \text{ m}$ 2. **Calculate the area:** The side acts as the base. Base = 14 m, Height = 5 m. Area $= 14 \times 5 = 70 \text{ sq. m}$ ### Exam Strategy & Shortcut Recognize instantly that dividing the perimeter by 4 gives the base. Multiply that base by the height directly: $(56 / 4) \times 5 = 14 \times 5 = 70$. ### Common Pitfall Trying to force the use of the diagonal area formula ($\frac{1}{2} d_1 d_2$) and getting stuck because diagonal lengths are not provided and cannot be easily derived without internal angles. ### Final Answer Therefore, the correct answer is **70 sq. m**.