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
​

Answer 1

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

Answer 2

Step-by-step explanation:

Perimeter of a rectangle = 2(length + breadth)

half of perimeter = length+ breadth (eq. 1)

half of perimeter = 36m ( given )

length = 4+ breadth {given}

let the breadth be x

so length= 4+ x

from eq 1

36 = x + 4 + x

36 - 4 = 2x

x = 32/2

x = 16m

=> breadth = 16 m

length = 4+ 16

length = 20m

so the dimensions are 20m,20m,16m and 16m

hope it helps………