1.

a field is rectangular in shape and its lenght is 1 1/2 times its breath . if its area is 2.4576 hectares . what is its perimeter​

Answer»

Answer :

  • Perimeter is 640m

Given :

  • Length is 1 ½ times its BREADTH
  • Area is 2.4576 hectares

To find :

  • Perimeter

Solution :

Given length is 1 ½ times its breadth so ,

  • Let the breadth be X
  • Length = 1 ½ x = 3/2 x

Area is 2.4576 hectares

  • We know that 1 hectares = 10000

》2.4576 × 10000

》24576 m²

Area is 24576m²

As we know that ,

  • Area of rectangle = length × breadth

》24576 = 3/2 x × x

》x² = 24576 × 2/3

》x² = 16384

》x = √16384

》x = 128

HENCE , Breadth is 128

  • Length = 3/2 x = 3/2 × 128 = 192

Now we have to find the perimeter:

As we know that ,

  • Perimeter of rectangle = 2(l + B)

Where, l is length 192 and b is breadth 128

》Perimeter of rectangle = 2(length + breadth)

》2(192 + 128)

》2(320)

》640m

Hence , Perimeter is 640m

Verification :

Given

  • Length = 192m
  • Breadth = 128m

As we know that,

  • Area of rectangle = length × breadth

》Area of rectangle = length × breadth

》192 × 128

》24576 m²

Hence verified



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