Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is
36m. Find the dimensions of the garden
Answers
Given:
Half the perimeter of rectangular garden is 36.
Length is 4m more than its width.
Find:
The dimensions of rectangular garden.
Solution:
Let the length of the rectangular garden be l m.
Let the breadth of the rectangular garden be b m.
Perimeter of rectangular garden = 2(l + b)
Half the perimeter of rectangular garden is (l + b)
We have,
The length is 4m more than its width.
=> l = b + 4 ..........(i)
=> l + b = 36
=> b + 4 + b = 36 (using Eq . 1)
=> 2b + 4 = 36
=> 2b = 36 - 4
=> 2b = 32
=> b = 32/2
=> b = 16m
Putting the value of b in Eq (i).
=> l = b + 4
=> l = 16 + 4
=> l = 20m
Hence, the dimensions of rectangular garden are 20m and 16m.
I hope it will help you.
Regards.
Answer:
The length is 4m more than its width.
=> l = b + 4 ..........(i)
=> l + b = 36
=> b + 4 + b = 36 (using Eq . 1)
=> 2b + 4 = 36
=> 2b = 36 - 4
=> 2b = 32
=> b = 32/2
=> b = 16m
Putting the value of b in Eq (i).
=> l = b + 4
=> l = 16 + 4
=> l = 20m
Hence, the dimensions of rectangular garden are 20m and 16m.
Step-by-step explanation: