A field in the form of a rhombus has each side of length 64m and altitude 16m. What is the side of a square field which has the same area as that of a rhombus?
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Since rhombus is also a parallelogram.
Hence Area of a rhombus = Area of a llgm
=) Area of a rhombus = Base* height
=) Area of a rhombus = side * height
=) Area of a rhombus = 64m * 16m
=) Area of a rhombus = 1024 m^2... Eq. 1.
Since according to question,
Area of a square = Area of a rhombus
=) Area of a square = 1024 m^2
=) (side) ^2 = 1024 m^2
=) (side) ^2 = (32m)^2
=) Side = 32m.
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Hence side of a square is 32m.
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