Question

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

Answer 1

perimeter of rectangle= 14 m
2(3x+x)=14
or, x= 7/4
so, length= 21/4
and breath= 7/4.

Answer 2

Perimeter of rectangle = 2/5 of perimeter of square - 2

Perimeter of rectangle = 2/5 × 40 - 2

Perimeter of rectangle = 16 - 2

Perimeter of rectangle = 14 m

Let length be a

Breadth = a / 3

=> 2 (a + a/3) = 14

=> 2 ( 4a/3) = 14

=> 8a = 42

=> a = 42 / 8

=> a = 21 / 4

=> a = 5.25

Length = 5.25 m

Breadth = 1.75 m