Question

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

Answer 1

Answer with explanation:

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

Since side of square = √Area

So, side of square field =
`√(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=(116)/(6)=(58)/(3)\ m`

Length :
`2x =2(58)/(3)=(116)/(3)\ m`

Area of rectangle = length x breadth

`=(116)/(3)*(58)/(3)=(6728)/(9)\\\\=747(5)/(9)\ m^2`

Area of rectangle =
`747(5)/(9)\ m^2`