Question

The area of a trapezium is 1080 cm². If the lengths of its parallel sides are 55.6 cm and 34.4 cm, find the distance between them. 

Answer 1

Area of trapezium = 1/2 × (a+b) × h

a and b are the parallel lengths

Now we are going to find the distance, which is height (also known as 'h').

First, substitute the given values into the equation.

1080 = 1/2 × (55.6 + 34.4) × h

Move the 1/2 over to 1080 and divide.

1080 ÷ 1/2 = (55.6 + 34.4) × h

2160 = (55.6 + 34.4) × h

Add the numbers in the brackets.

2160 = 90 × h

Move 90 over to 2160 and divide.

2160 ÷ 90 = h

24 = h

Therefore, the distance is 24cm


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Answer 2

area of trapezium =1/2*(a+b) *h
1080=1/2(55.6+34.4)h
1080=1/2*90*h
H=1080*2/90
H=24

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