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

We know that, if a and b are two adjacent sides of a parallelogram, then Area =|a b|=15 (given) ...(i) If the sides are (3 a +2 b ) and ( a +3 b ) Then, area of parallelogram aligned &=3|(3 a +2 b ) ( a +3 b )| &=|3 a a +9 a b +2 b a +6 b a | &=|0+9 a b -2 a b +0| &=|7( a b )| &=7| a b | &=7 15=105 sq units aligned