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

Step-by-step solution

Area of parallelogram is | a b | | a b |=15 Area of the required parallelogram aligned & =|(3 a +2 ~b ) ( a +3 ~b )| & =|3( a a )+9( a b )+2( ~b a )+6( ~b b )| & =0+9| a b |-2| a b |+0 & =7| a b | & =7 15 & =105 sq. units aligned