Question

half the perimeter of a rectangular Garden whose length is 4 metre more than its width is 30 metre find dimension of Garden

Answer 1

Let the width of the rectangular garden = x.

Then the length of the rectangular garden will be 4 meters more than its width = x + 4.

We know that Perimeter of a rectangular garden = 2(l + b).

Half the perimeter of a rectangular garden = 1/2 * 2(l + b)

                                                                         = l + b.


Given that half the perimeter of a rectangular garden = 30m.

30 = l + b

30 = x + x + 4

30 = 2x + 4

30 - 4 = 2x 

26 = 2x

x = 13.

Width = 13m.

Length = 13 + 4

            = 17m.



Therefore The length of a rectangular garden = 17m.

                  The width of a rectangular garden = 13m.



Hope this helps!

Answer 2

hello !

Let the width of the garden be x metres.

Then length = (x+4) metres

Half the Perimeter = 36m (given)

So, perimeter of the garden = (2*30) = 60 metres

A.T.Q

2(l+b) = 60

2(x+4+x) = 60

2x+4 = 60/2 = 30

2x = 30-4

2x = 26

x = 26/2 = 13 metres

Thus, the width of the garden is 13 metres and the length is (13+4) = 17 metres.