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Svetlanka [38]
3 years ago
7

The area of a square field is 841m.A rectangular field whose length is twice it's breath has its perimeter equal to square field

.Find the area of square field
Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0
<h2>Answer with explanation:</h2>

Given: The area of a square field is 841 sq.m

Since side of square = √Area

So, side of square field = \sqrt{841} =29

Thus , side of square field = 29 m

Perimeter of square = 4( side) = 4(29) = 116 m

Let x be the breadth of rectangle then 2x be the length

Perimeter of rectangle = 2 (length+breadth) = 2(2x+x)= 2(3x)=6x

As per question, perimeter of rectangle=  Perimeter of square

\Rightarrow\ 6x=116\\\\\Rightarrow\ x=\dfrac{116}{6}=\dfrac{58}{3}\ m

Length : 2x =2\dfrac{58}{3}=\dfrac{116}{3}\ m

Area of rectangle =  length x breadth

=\dfrac{116}{3}\times\dfrac{58}{3}=\dfrac{6728}{9}\\\\=747\dfrac{5}{9}\ m^2

Area of rectangle = 747\dfrac{5}{9}\ m^2

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