Answer:
Length = 9 units, Breadth = 3 units
Step-by-step explanation:
Let the width of the rectangular garden is b and its length is (6+b).
The area of the rectangular garden is 27 sq. units.
We need to find the dimensions of the rectangular garden.
The area of a rectangle is given by :
A = lb
Putting the values,
[tex]b(6+b)=27\\\\b^2+6b-27=0\\\\b^2+9b-3b-27=0\\\\b(b+9)-3(b+9)=0\\\\b=-9,b=3[/tex]
Neglecting negative value, the width of the garden is 3 units.
Length = (6+b)
= (6+3)
= 9 units
Hence, the dimension of the rectangular garden is 3 unit × 9 unit.
