sides of a rectangle are in the ratio 2:3 find its perimeter if its area is 150cm square

Let length and breadth are 3x and 2x respectively.

According to question -

Area of Rectangle = Lenghth X Breadth.

=> 150 = 2x  * 3x

=. 6x2 =150

=> x2 =25

... x= 5

Thus, Length = 3*5= 15cm  and breadth =2*5 = 10cm

... Perimeter = 2(length+ breadth)= 2( 15+10)= 50cm

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