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Half the perimeter of a rectangular garden, whose length is 4m more than its width, is 36m. Find the dimensions of the garden.

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Length of rectangular garden be ‘x’ m. 

Breadth of rectangular garden be ‘y’ m, then 

Length of the garden is 4m more than its width. 

x = y + 4 ……….. (i) 

x – y = 4 

Half of the circumference is 36 m.

\(\frac{2x + 2y}{2}\) = 36

2x + 2y = 72 

x + y = 36 …………… (ii) 

∴ x – y = 4 (i) 

x + y = 36 (ii) 

From eqn. (i) + eqn. (ii)

∴ x = 20 m. 

Substituting the value of ’x’ in eqn. (i) 

x – y = 4 

20 – y = 4 

-y = 4 – 20 

-y = -16 

y = 16 m. 

∴ Length of the garden = 20 m. 

Breadth of the garden = 16 m.

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