Question

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

Answer 1

Step-by-step explanation:

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..

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