The area of a trapezium is 360 cm and its height is 18 cm. If one of the parallel sides is longer than
other by 4 cm, find the lengths of parallel sides.
Please do it fast it's urgent
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The area of a trapezium is 360 cm and its height is 18 cm. If one of the parallel sides is longer than
other by 4 cm, find the lengths of parallel sides.
Please do it fast it's urgent
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Verified answer
To Find :–
The Area of the Trapezium.
Given :–
We know :–
⠀⠀⠀⠀⠀⠀Formula for
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Area of a Trapezium :
Where :-
Concept :-
Let the first parallel side be x .
According to the Question , the other parallel side is 4 cm more than the first parallel side.i.e,
The other parallel side is (x + 4).
Now , by putting this value in the formula for area of a Trapezium , we can find the required value.
Solution :-
Given :-
By using the formula and substituting the values in it, we get :-
Hence, the value of x is 18 cm.
⠀⠀⠀⠀⠀⠀First parallel side :-
⠀⠀⠀⠀⠀⠀⠀⠀⠀a = x = 18 cm
⠀⠀⠀⠀⠀⠀⠀⠀→⠀b = (x + 4)
⠀⠀⠀⠀⠀⠀⠀⠀⠀=> (18 + 4) cm
⠀⠀⠀⠀⠀⠀⠀⠀⠀=> 22 cm
Hence, the two parallel sides are 18 cm and 22 cm.