Question

perimeter of rectangle is 2.4 m less than 2/5 of perimeter of square,if the perimeter of square is 40 m, find the length and breadth of the rectangle given that breadth is 1/3 of its length

Answer 1

Given, perimeter of square = 40 m
            perimeter of rectangle = 2/5 ( perimeter of square ) - 2.4
                                                = 2/5 ( 40 ) - 2.4
                                                = 13.6 m
Let, the length of rectangle = x
       the breadth of rectangle = x/3
Perimeter of the rectangle = 2 ( length + breadth )
                                          = 2 ( x + x/3 )
                                          = 2 ( 3x/3 + x/3 )
                                          = 2 ( 4x/3 )
                                          = 8x/3
We have found the perimeter of the rectangle through the perimeter of square.
Let's equate them both,
                                8x/3 = 13.6
                                8x = 13.6 * 3
                                8x = 40.8
                                x = 40.8 / 8
                                x = 5.1 m
∴ Length of the rectangle = 5.1 m
   Breadth of the rectangle = 5.1 / 3 = 1.7 m

Hope my answer helps you..

Answer 2

Answer:

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