Question

the length of a rectangle is 3 meter more than 3 times its breadth its diognal is 1 meter more than the length find the length and breadth ​

Answer 1

Answer:

Step-by-step explanation:

Let the breadth be x.

So the length = 3x + 3

And the diagonal = 3x + 3 + 1

                             = 3x + 4

Now,

(3x+4)^2 = x^2 + (3x + 3)^2

9x^2 + 16 + 24x = x^2 + 9x^2 + 9 + 18x

x^2 + 9 + 18x = 16 + 24x

x^2 - 6x - 7 = 0

x^2 - 7x + x - 7 = 0

x(x - 7) + 1(x - 7) = 0

(x - 7)(x + 1) = 0

x - 7 = 0                                               OR                                             x + 1 = 0

 x = 7(Correct)                                    OR                                     x = -1(Incorrect)

Therefore,

Length = 3x + 3

            = 3(7) + 3

            = 21 + 3

            = 24 m.

Breadth = x

             = 7 m.