Find out The Area of The Field?

If the perimeter of a rectangular field is 480 m, and the ratio of its length and breadth is 5 : 3, then find out the area of the field.

  1. 7680 m2
  2. 13500 m2
  3. 3840 m2
  4. 11520 m2
Anurag Mishra Professor Asked on 6th September 2015 in Maths.
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1 Answer(s)

Answer: (2) 13500 m2
Explanation:-

The ratio of the length and breadth of a rectangle = 5: 3
Let the length of the rectangular park be 5X m and the breadth is 3X m.

Formula-
The perimeter of the rectangular park = 2 (length + breadth)

The perimeter of the rectangular park = 480
Then, 2 (5X + 3X) = 480
2 x 8X = 480
16X = 480
X = 480/16
X = 30

Then, the length of the rectangular park is 5X = 5 x 30 = 150 m
And the breadth of the rectangular park is 3X = 3 x 30 = 90 m

Formula-
The area of the rectangular park = Length x Breadth

Then, the area of the rectangular park = 150 x 90
= 13500 m2

Then, the area of the rectangular park is 13500 m2

Hence, the answer is (2) 13500 m2.

Anurag Mishra Professor Answered on 8th September 2015.
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