15. Area of a rectangular field is 450m2. The breadth of the field is 15 m. What is the ratio of length and area of the
rectangular field?
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Answer :
• The ratio of length is to the area of the Rectangular field is 1:15.
Step-by-step explanation:
To Find :
The ratio of length is to area of the Rectangular field
Solution:
Given the,
• Area of the rectangular field =
450m²
• Breadth of the field = 15m
.. The length of the filed:
As we know that,
Perimeter of rectangle = 2 ( Length +
Breadth),
=> 2 (Length + 15 ) = 450
=> Length + 15 = 450/2
=> Length + 15 = 225
=> Length = 225 - 15
=> Length = 210
Hence, the length of the Rectangular field
is 210m.
Now, Area of the Rectangular field:
As we know that,
Area of rectangle = Length x Breadth,
=> Area = 210m x 15m
=> Area = (210 x 15 )m²
=> Area = 3150m²
Hence, the area of the field is 3150m².
Now, According the question,
The ratio of length is to the area of the Rectangular field.
=> Length: Area
=> 210: 3150
=> 42: 630
=> 14: 210
=> 7: 105
=> 1:15
.. The ratio of length is to the area of the Rectangular field is 1:15.
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