If the area of the parallelogram with a and b as two adjacent sides is 16 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 the parallelogram with a and b as two adjacent sides is | a b | | a b |=16 Area of the required parallelogram aligned & =|(3 a +2 b ) ( a +3 b )| & =|3( a a )+9( a b )+2( b a )+( b b )| & =0+9| a b |-2| a b |+0 & =7| a b | & =7 16 & =112 aligned