Question

a rectangular garden has an area of 120m² and has a perimeter of 88 meters. find the dimension of the rectangular garden​

Answer 1

Answer:

Let the length and breadth of a rectangular garden be 5a m and 4a m respectively.

∴5a×4a=2000⟹a

2

=100⟹a=10

Hence, length of the garden =5×10=50m

and Breadth of the garden =4×10=40m

Let the uniform width of the road = x$$ m

∴ As per question,

50×40−[(50−2x)×(40−2x)]=344

⟹2000−2000+2x(50−40)−4x

2

=344

⟹4x

2

−180x+344=0

⟹x

2

−45x+86=0

⟹x

2

−43x−2x+86=0

⟹x(x−43)−2(x−43)=0

⟹(x−43)(x−2)=0

∴x=2m

Step-by-step explanation:

hope it helps you...