Answer:
Step-by-step explanation:
To find the area of a trapezium, you can use the formula:
Area = 1/2 x (sum of parallel sides) x (height)
1. Calculate the sum of the parallel sides:
Sum of parallel sides = 25cm + 11cm = 36cm
2. Now, we need to find the height of the trapezium. To do this, we can create a right-angled triangle by drawing a line from one of the vertices perpendicular to the base of the trapezium. This line will be the height of the trapezium.
3. The height of the trapezium forms a right-angled triangle with the nonparallel sides of lengths 15cm and 13cm. We can use the Pythagorean theorem to find the height:
h^2 = 15^2 - ((25-11)/2)^2
h^2 = 225 - 49
h^2 = 176
h ≈ 13.27 cm
4. Now that we have the height, we can calculate the area of the trapezium:
Area = 1/2 x 36cm x 13.27cm
Area ≈ 238.86 cm^2
Therefore, the area of the trapezium is approximately 238.86 square centimeters.
