Question

If in a trapezium, the lengths of the parallel sides are equal then it's area is




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Answer 1

GIVEN :-

• In a trapezium the length of a parallel sides are equal.

TO FIND :-

• The Area of the trapezium.

SOLUTION :-

☛ Let Parallel sides are a and b

✒ In the question it is given that, the length of a parallel sides are equal . so we can write that,

☛ a = b.

✒ Now Area of trapezium = 1/2 (sum of || sides) × h.

➬ 1/2 (a + b) × h.

☛ If The parallel sides are equal then we can write 'b' as 'a'.

➬ 1/2 (a + a) × h

➬ 1/2 × 2a × h

➬ a × h

➬ ah.

☛ Hence the area of trapezium will be = ah or bh.

ADDITIONAL INFORMATION :-

◉ Trapezium :- it is a 2D shape quadrilateral , which has two parallel sides and two non parallel sides .

Types of Trapezium :-

◉ Scalene trapezium .

◉ isosceles trapezium .

◉ Right trapezium .

Answer 2

Answer:

Area of trapezium = (1/2)h(a+b)

Given a=b

Then area = h×a

i.e.,height × length of any one side