Question

HALF THE PERIMETER OF A RECTANGULAR GARDEN IS 36M WRITE A LINEAR EQUATION WHICH SATISFIES THS DATA DRAW THE GRAPH FOR THE SAME

Answer 1

Let the length of the rectangular garden be x
Let the breadth of the rectangular garden be y

Perimeter of rectangular garden
= 2( x + y)

now, according to the question

= 1/2 * 2( x + y) = 36
= x + y = 36
and hence the linear equation.

Look above for the graph of the equation.

Answer 2

Let length of rectangle        = x m

With of the rectangle           = y m

Given that whose length is 4 m more than its width

so  that

x          = 4 + y

plug  y = -18 , 0, and 18 we get

x          = 4 - 18           = -14

x          = 4 +0             =  0

x          = 4 + 18          = 22

X

-14

0

22

y

-18

0

18


Given that Half of the perimeter of the rectangle is 36 m so

Formula of perimeter of the rectangle    = 2(x+y)

Half of perimeter of rectangle                   = (1/2)*2(x + y)          =  x + y    

So our equation will

x + y = 36

Subtract y both side we get 

X       = 36 – y

Plug  y = 36 ,18 and 0 we get

X        = 36 – 36       = 0

X        = 36 – 18        = 18

X        = 36 – 36       = 0

X

0

18

36

y

36

18

0

 

Hence length of garden = 20 m

Width of garden = 16 m