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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?

Answer:

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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