The ratio between length and breadth of a field is 10 : 6. The area of the field is 3840m². Find the difference between the length and width of the field.
Answers
Answer:
32m
Step-by-step explanation:
Area = 3840 m^2
Length = 10x
Breadth = 6x
Value of length and breadth = 10x x 6x = 60x^2
= 60x^2 = 3840
= x^2 = 3840/60 = 64
= x^2 = 64
= x = 8
Length = 10 x 8 = 80m
Breadth = 6 x 8 = 48m
Difference = 80 - 48
= 32m
Correct Question :
›»› The ratio between length and breadth of a rectangular field is 10 : 6. The area of the rectangular field is 3840m². Find the difference between the length and width of the rectangular field.
Answer :
›»› The difference between the length and width of the rectangular field are 32 m.
Given :
- The ratio between length and breadth of a rectangular field is 10 : 6. The area of the rectangular field is 3840m².
To Find :
- The difference between the length and width of the rectangular field.
Solution :
Let us assume that, the length of a rectangle is 10x m and the breadth of a rectangle is 6x m respectively.
As we know that
→ Area of rectangle = length * breadth
→ 3840 = 10x * 6x
→ 3840 = 60x²
→ x² = 3840/60
→ x² = 384/6
→ x² = 64
→ x = √64
→ x = 8
Therefore,
→ Length of a rectangle = 10x
→ Length of a rectangle = 10 * 8
→ Length of a rectangle = 80 m
→ Breadth of a rectangle = 6x
→ Breadth of a rectangle = 6 * 8
→ Breadth of a rectangle = 48 m
Now,
The difference between the length and width of the rectangular field :
→ Length - Breadth
→ 80 - 48
→ 32
Hence, the difference between the length and width of the rectangular field are 32 m.