**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. ** **Solution:** Let length of rectangle = x m

With of the rectangle = y m

Given that whose length is 4 m more than its width

so that

x = 4 + y

plug y = -18 , 0, and 18 we get

x = 4 - 18 = -14

x = 4 +0 = 0

x = 4 + 18 = 22

Given that Half of the perimeter of the rectangle is 36 m so

Formula of perimeter of the rectangle = 2(x+y)

Half of perimeter of rectangle = (1/2)*2(x + y) = x + y

So our equation will

x + y = 36

Subtract y both side we get

X = 36 – y

Plug y = 36 ,18 and 0 we get

X = 36 – 36 = 0

X = 36 – 18 = 18

X = 36 – 36 = 0

**Hence length of garden = 20 m Width of garden = 16 m **