If the area of the parallelogram with a and b as two adjacent sides is 15 sq units, then the area of the parallelogram having 3 a +2 b and a +3 b as two adjacent sides in sq units is

Step-by-step solution

Area of parallelogram having a and b as its adjacent sides is 15 sq units. | a b |=15 Area of parallelogram having (3 a +2 b ) and ( a +3 b ) as two adjacent side =|(3 a +2 b ) ( a +3 b )|=|3 a a +2 b a +9 a b +6 b b |=|2 b a +9 a b |[ a a = b b =0]=7| a b |[ b a =- a b ]=7 15=105