Question

The parallel sides of a trapezium are 54 cm and 26 cm and the area of trapezium is 600 cm sq. find distance between parallel sides

pls answer this ques and don't send any another thing only solution pls ​

Answer 1

Given :-

• length parallel sides of trapezium = 54 cm and 26 cm
• area of trapezium = 600 cm²

To Find :-

• distance between parallel sides or height of the trapezium ?

Solution :-

we know that, if ‘a’ and ‘b’ are two parallel sides of a trapezium and ‘h’ is the height of it then,

$\boxed{ \bold{ area \: of \: trapezium = \frac{1}{2}(a + b) \times h }}$

$\bold{: \implies 600 = \frac{1}{2} (54 + 26) \times h } \\ \\ \bold{: \implies 600 = \frac{1}{ \cancel2} \times \cancel{80} \times h } \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 600 = 40h} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies h = \cancel\frac{600}{40} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ : \implies h = 15 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, height or distance between two parallel sides is 15 cm