Question

Perimeter of a rectangle is 2.4m less than 2/5 of the perimeter of a square. If the perimeter of the square is 40 my, find the length and breadth of the rectangle given that breadth is 1/3 of the length.

Answer 1

Heya !!



Let length of rectangle be X m.



Breadth of rectangle = x/3 m





Perimeter of rectangle = 2 ( l + b)



=> 2 ( x + x/3 )




=> 2 ( 4x/3 ) m




Given that,



Perimeter of rectangle = 2/5 × 40 - 2.4





2 × ( 4X/3 ) = 16 - 2.4







8x/3 = 13.6




8x = 40.8



x = (40.8/8)


x = 5.1



Length of rectangle = X = 5.1 m


And,


Breadth of rectangle = X/3 = 5.1/3 = 1.7 m