The area of a trapezium is 279 sq.cm and the distance between its two parallel sides is 18cm if one of its parallel sides is longer than the other side by 5 cm find the lenth its parallel side
Answers
Answer : 13 cm and 18 cm
Explanation :-
Area of trapezium :-
Area of trapezium :- = 1/2 (sum of parallel sides) x height
Given :
Area of trapezium = 279 sq.cm
Height = 18 cm.
one of its parallel sides is longer than the other side by 5 cm
According to the given question -
279 = 1/2(x + x+5)18
=> 558 = (2x+5)18
=> 558/18 = 2x+5
=> 31 = 2x+5
=> 2x = 31-5
=> x = 26/2
=> x = 13.
hence, x = 13 cm and x+5 = 13+5 = 18 cm.
Answer : 13 cm and 18 cm
Explanation :-
Area of trapezium :-
Area of trapezium :- = 1/2 (sum of parallel sides) x height
Given :
Area of trapezium = 279 sq.cm
Height = 18 cm.
one of its parallel sides is longer than the other side by 5 cm
According to the given question -
279 = 1/2(x + x+5)18
=> 558 = (2x+5)18
=> 558/18 = 2x+5
=> 31 = 2x+5
=> 2x = 31-5
=> x = 26/2
=> x = 13.
hence, x = 13 cm and x+5 = 13+5 = 18 cm.