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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?

• Solution

• Transcript

Given that,

Side of rhombus = 64 m

Altitude of rhombus = 16 m

Since rhombus is a parallelogram

, therefore Area of parallelogram = base × altitude

Area of parallelogram = 64 × 16 = 1024 m2

Since Area of rhombus = Area of square

Therefore, Area of square = side2

Or side2 = Area of square

Side of a square = √square

Side of square = √1024 = 32

∴ Side of square = 32 m

"hello students i am rita your mass Lido tutor today's question is a field is in the form of a rhombus has each side of length 64 meter and altitude 16 meter what is the side of a square field which has the same area as that of a rhombus so in this question it is given that area of rhombus is is equal to area of square area of rhombus is equal to area of square area of rhombus so rhombus is also in the shape of a parallelogram so we apply the formula of parallelogram also base into height is equal to area of square is side into side so in rhombus the base is 64 meter and the height is 16 meter and this area of square is side into sine so when we multiplied 64 into 16 then we get 1024 1020 this is side into side that is side square so we square root on both side the square root of 1 0 to 4 is equal to square root of side square then this square is cancel out by square root and find the square root of 1 0 to 4 this is 1 0 2 4 we find out the square root of 1 0 2 4 3 3's are 9 10 minus 9 1 this is 24 3 plus 3 is 6 so 62 twos are 124 so the square root of 1024 is 32 meter it means the side of the square is 32 meter this is our answer i hope you like this video so please subscribe for more videos till then stay safe bye "

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