High School

The parallel sides of a trapezium are 77 m and 60 m, and its non-parallel sides are 26 m and 25 m. Find the area of the trapezium.

Answer :

To find the area of a trapezium, use the formula Area = (sum of parallel sides) x (height) / 2.

Area of a Trapezium:

  1. Identify the lengths of the parallel sides: 77 and 60.
  2. Find the height of the trapezium by subtracting the lengths of the non-parallel sides: 26 - 25 = 1 m.
  3. Calculate the area using the formula: Area = (sum of parallel sides) x (height) / 2.

To find the area of a trapezium, we use the formula A = rac{1}{2}(a+b)h, where a and b are the lengths of the parallel sides, and h is the height (distance between the parallel sides). However, in this problem, the height is not given directly. Instead, we must use the given sides of the trapezium to find it. Although the information provided does not directly give us the height, we could use the Pythagorean theorem and the properties of similar triangles if we had the length of the height or could construct right triangles within the trapezium to solve for the height.

In the absence of the height or additional information to calculate it, we cannot complete the solution for the area of the trapezium. More information or a diagram indicating how the sides are related would be required to determine the height and, consequently, the area of the trapezium.