A field in the form of a rhombus has each side of length 64 m and altitude 16 m.What is the side of a square field which has the same area as that of a rhombus ?

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Solution

Length of side of rhombus (b)=64 m and altitude (h)=16 m

$∴ A r e a = b \times h = 64 \times 16 m^{2} = 1024 m^{2} N o w a r e a o f s q u a r e = 1024 m^{2} ∴ S i d e o f t h e s q u a r e = \sqrt{A r e a} = \sqrt{1024} m = 32 m$

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A field in the form of a rhombus has each side of length 64 m and altitude 16 m.What is the side of a square field which has the same area as that of a rhombus ?

Length of side of rhombus (b)=64 m and altitude (h)=16 m ∴ Area=b×h=64×16 m2=1024 m2Now area of square=1024 m2∴ Side of the square=√Area=√1024 m=32 m

Length of side of rhombus (b)=64 m and altitude (h)=16 m

$∴ A r e a = b \times h = 64 \times 16 m^{2} = 1024 m^{2} N o w a r e a o f s q u a r e = 1024 m^{2} ∴ S i d e o f t h e s q u a r e = \sqrt{A r e a} = \sqrt{1024} m = 32 m$