What will the Area of Field? If

The perimeter of a rectangular field is 640 metres and the ratio between the length and breadth is 3:1. The area of the field is:

  1. 19200 sq. m
  2. 20000 sq. m
  3. 18200 sq. m
  4. 20200 sq. m
Monis Rasool Professor Asked on 29th June 2015 in Maths.
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1 Answer(s)

Answer: (1) 19200 sq.m.
Explanation:-
Given-
The perimeter of a rectangular field = 640 m.
The ratio of length & breadth = 3 : 1
Then, Let be the length of the rectangle field is 3X and breadth of the rectangle field is X.
Formula-
Perimeter of rectangle  = 2 ( length + breadth)
According to question,
2 (3X + X) = 640
2 x 4X = 640
8X = 640
X = 640/8
X = 80 m
Thus, the length  = 80 x 3 = 240 m  and breadth = 80 m
Formula-
Area of rectangle = Length x breadth
Then, the area of the rectangle field = 240 x 80
= 19200 sq. m.
Hence, the answer is (1) 19200 sq.m.

Anurag Mishra Professor Answered on 2nd July 2015.
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