Find the area of the trapezium EFGH having measurements as shown in the figure.

To find the area of the trapezium \( EFGH \), you can use the standard formula for the area of a trapezium (also known as a trapezoid): \[ \text{Area} = \frac{1}{2} \times ( \text{Sum of the lengths of the parallel sides} ) \times \text{Height} \] Here's a step-by-step guide to applying this formula: 1. **Identify the Parallel Sides:** - In trapezium \( EFGH \), let's assume that sides \( EF \) and \( GH \) are the two parallel sides. These are often referred to as the "bases" of the trapezium. 2. **Measure the Lengths of the Parallel Sides:** - Let the length of \( EF \) be \( a \) units. - Let the length of \( GH \) be \( b \) units. 3. **Determine the Height:** - The height (\( h \)) of the trapezium is the perpendicular distance between the two parallel sides \( EF \) and \( GH \). 4. **Apply the Formula:** \[ \text{Area} = \frac{1}{2} \times (a + b) \times h \] 5. **Calculate the Area:** - Plug in the measured values of \( a \), \( b \), and \( h \) into the formula to compute the area. **Example Calculation:** Suppose: - \( EF = 8 \) units - \( GH = 5 \) units - Height \( h = 4 \) units Then, \[ \text{Area} = \frac{1}{2} \times (8 + 5) \times 4 = \frac{1}{2} \times 13 \times 4 = \frac{52}{2} = 26 \text{ square units} \] **Conclusion:** Without the specific measurements from the figure, the general approach is to use the formula: \[ \text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height} \] Ensure you accurately identify the lengths of the two parallel sides and the height to compute the area correctly.