Question
The perimeter of a trapezium is 52 cm and its non-parallel sides are each equal to 10cm . If its altitude is 8cm, what is its area?
Hint:
The perimeter of trapezium = sum of lengths of non parallel sides + sum
lengths of parallel sides. we find the sum lengths of parallel sides.
And substitute in the below formula
Now , find the area of Trapezium = ½ height × (sum of lengths of parallel sides).
The correct answer is: 128 cm2
Ans :- 128 cm2.
Explanation :-
Given, side length of non parallel sides is 10 cm each
Altitude or height = 8 cm.
So, the sum of lengths of non parallel sides = 10+ 10 = 20 cm .
Perimeter = 52 cm
Step 1:- find the sum lengths of parallel sides.
The perimeter of trapezium = sum of lengths of non parallel sides + sum lengths of parallel sides.
52 = 20 + sum lengths of parallel sides
sum lengths of parallel sides = 52 - 20 = 32 cm .
Step 2:- Find the area of trapezium and substitute them in the formula.
Therefore, the area of trapezium = 128 cm2.
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