Question

5. Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is
36 m. Find the dimensions of the garden.
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Answer 1

perimeter of a rectangle = 2(l + b )

let breadth be b

36= 2(b+4+b)

36=2(2b+4)

36=4b+8

36-8=4b

28=4b

28÷4=b

7= b

so breadth is 7

length is 7+4=11.

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Answer 2

Answer:

It is given that, half of the Perimeter of reactangular garden is 36 :]

So,

➦ 2(l + b)/2 = 36

➦ l + b = 36.......[Equation (i)]

Now,

Let width be x

and length be x + 4

Putting this values in equation (i) we get,

➝ l + b = 36

➝ x + x + 4 = 36

➝ 2x + 4 = 36

➝ 2x = 36 - 4

➝ 2x = 32

➝ x = 32/2

➝ x = 16 m

Therefore,

Width of reactangular garden = x = 16 m

Length of the reactangular garden = x + 4 = 16 + 4 = 20 m