The length of a rectangular field is double its width. Inside the field there is a square-shaped pond 8 m long. If the area of the pond is 1/8 of the area of the field, what is the length of the field?

Options

A. 32 m
B. 16m
C. 64m
D. 20m

Answer

A

Explanation

Let width of the field = b m
`:." Length " =2b m`
Now, area of rectangular field `=2bxxb=2b^2`
Area of square shaped pond `=8xx8=64`
According to the question,
`64=1/8(2b^2)rArr b^2=64xx4rArr b=16 m`
`:." Length of the field " =16xx2=32 m`