The length of a rectangular sports field is three times its width if the perimeter of the field is 880 meters what is the area of the sports field

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21-01-2016
Mathematics

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The length of a rectangular sports field is three times its width if the perimeter of the field is 880 meters what is the area of the sports field

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taskmasters taskmasters · Answer 1 · 2016-01-21T11:46:55+01:00

Let us assume the width of the rectangular sports field = x meters
Then
The length of the rectangular sports field is = 3x
Perimeter of the rectangular sports field = 880 meters
Then
Perimeter of the rectangular field = 2(Length + Width)
880 = 2(x +3x)
880 = 2 * 4x
880 = 8x
x = 880/8
= 110 meters
So
Width of the rectangular field = 110 meters
Length of the rectangular field = 3x
   = 3 * 110 meters
   = 330 meters
Now
Area of the rectangular field = Length * Width
   = 110 * 330 square meters
   = 36300 square meters.
So the area of the rectangular field comes out to be equal to 36300 square meters.