Maths-
General
Easy

Question

The perimeter of a trapezium is 52cm .Its non parallel sides are equal to 10cm each and its altitude is 8cm. Find the area of the trapezium ?

hintHint:

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.
    text  Area of trapezium  end text equals 1 half left parenthesis text  height  end text right parenthesis left parenthesis text  sum of lengths of parallel sides)  end text
    text  Area of trapezium  end text equals 1 half left parenthesis 8 right parenthesis left parenthesis 32 right parenthesis equals 4 cross times 32 equals 128 cm squared
    Therefore, the area of trapezium = 128 cm2.

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