Question

the area of trapezium is 845cm² and the distance the between the two parallel sides is 26cm. if one of the parallel sides is 5cm longer than the other parallel side, then the length of its parallel sides will be :-
i) 42cm and 35cm
ii) 30cm and 39cm
iii) 42cm and 39cm
iv) 30cm and 35cm​

Answer 1

Let xcm and x+5cm be the two parallel sides

altitude= 26cm

by question

area of trapezium=½× altitude ( a+b)

845cm²= ½× 26(x + x+5)cm²

845cm²=13(x + x+5)cm²

845cm²=13xcm + 13x +65 cm

845cm²- 65cm =13x + 13x

780cm² = 26xcm

780cm²÷26cm = x

30cm = x

therefore, the other side = x+5=30cm +5 =35cm