Question

A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1100 feet, whatare the dimensions of the field?The width of the field isfeet.The length of the field isfeet.

Answer 1

Given:

The perimeter of the rectangular field is 1100 feet.

According to the question,

l=9w

To find the dimensions:

Substitute l=9w in the perimeter formula,

`\begin{gathered} 2(l+w)=1100 \\ 2(9w+w)=1100 \\ 20w=1100 \\ w=55\text{ f}eet \end{gathered}`

Since the width of the rectangle is 55 feet.

The length of a rectangle is,

`55*9=495\text{ f}eet`

Hence,

The width of the rectangle is 55 feet.

The length of a rectangle is 495 feet.