The perimeter of a trapezium is 52cm and its each non parallel side is equal to 10cm with its height 8cm. Find its area.
Question
The perimeter of a trapezium is 52cm and its each non parallel side is equal to 10cm with its height 8cm. Find its area.
Solution
To find the area of the trapezium, we can use the formula:
Area = (sum of parallel sides) * height / 2
Given that the non-parallel sides are equal to 10cm each, we can calculate the sum of the parallel sides:
Sum of parallel sides = 10cm + 10cm = 20cm
Now, we can substitute the values into the formula:
Area = (20cm) * 8cm / 2
Simplifying the equation:
Area = 160cm² / 2
Area = 80cm²
Therefore, the area of the trapezium is 80cm².
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