Question

Annette took $10$ minutes to walk around a rectangular field. The length of the field is $4$ times its width. How long would it take Annette to walk the width of the field?

• A. $1$ minute
• B. $2$ minute
• C. $3$ minute
• D. $4$ minute
• E. $5$ minute

Answer 1

Answer: (A)

$1$ minute

Annette takes $10$ minutes to walk around a rectangular field.
Let the width be $x$
Then length will be $4x$
Perimeter will be
Perimeter $=2(l+b)$
$=2(4x+x)$
$=2\left(5x\right)=10x$
Total length of rectangular field is the perimeter of the field.
So to walk $10x$ unit of length Annette takes $10$ minutes.
To walk $1$ unit of length he will take $\frac{10}{10x}$ minutes
To walk $x$ unit of length he will take $\frac{10}{10x}\times x=1$ minute
Annette will take $1$ minute to walk around the width of field.