The perimeter of the rectangular field is 36 .The ratio of its length and breadth are5:4.find the length and breadth of the field
Answers
Perimeter of rectangle = 2(length + breadth)
We have given that, perimeter of a rectangular field is 36 and the ratio of length and breadth are 5 : 4.
Let the -
- length of rectangular field = 5x
- breadth of rectangular field = 4x
Now,
Substitute the known values in above formula to find the value of length of breadth.
=> 36 = 2(5x + 4x)
=> 36 = 2(9x)
=> 36 = 18x
=> 18x = 36
=> x = 36/18
=> x = 2
•°• Length of rectangular field = 5x
=> 5(2)
=> 10 units
Breadth of rectangular field = 4x
=> 4(2)
=> 8 units
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Verification
From above calculations we have x = 2
Now,
Perimeter of rectangle = 2(l + b)
We have ..
- Perimeter of rectangle = 36
- Length = 10 units
- Breadth = 8 units
Substitute these values in above formula
=> 36 = 2(10 + 8)
=> 36 = 2(18)
=> 36 = 36
Answer: Length = 10, breadth = 8
Step-by-step explanation:
Let the length be 5x and breadth be 4x
Perimeter of a rectangle = 2(length +breadth)
Substituting the values for length and breadth, we get
2(5x+4x) = 36
2 * 9x = 36
18x = 36
x = 36/18
x = 2
∴ Length = 5x = 5*2 = 10 units( or whichever unit is given)
Breadth = 4x = 4*2 = 8 units