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26):-
let the sides be 2a and 3a,
then
area of trapezium=1/2 × (sum of parallel sides)×distance between the parallel lines,
therefore
125=1/2 ×(2a+3a)×10,
125=5a×5,
then
125=25a,
a=5,
hence
1st side=2×5=10 cm,
2nd side=3×5=15 cm,
25):-
let numerator of the fraction=A,
then the denominator=(A+8),
then
fraction=A/(A+8),
now according to the question, we have
(A+17)/[(A+8)-1] =3/2,
(A+17)/(A+7) =3/2,
2A+34=3A+21,
then
34-21=3A-2A,
13=A,
therefore
fraction =13/(13+8),
=13/21
let the sides be 2a and 3a,
then
area of trapezium=1/2 × (sum of parallel sides)×distance between the parallel lines,
therefore
125=1/2 ×(2a+3a)×10,
125=5a×5,
then
125=25a,
a=5,
hence
1st side=2×5=10 cm,
2nd side=3×5=15 cm,
25):-
let numerator of the fraction=A,
then the denominator=(A+8),
then
fraction=A/(A+8),
now according to the question, we have
(A+17)/[(A+8)-1] =3/2,
(A+17)/(A+7) =3/2,
2A+34=3A+21,
then
34-21=3A-2A,
13=A,
therefore
fraction =13/(13+8),
=13/21
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