Question

The perimeter of a rectangle garden is 370 feet ? If the length of the garden is 98 feet what is its width ?

Answer 1

The perimeter of a rectangle can be determined as the sum of twice its width and twice its length, following the formula:

`P=2w+2l`

If you know the perimeter and length of a rectangle, you can determine its width using the formula.

The first step is to write the formula for w:

-pass 2l to the left side of the equal sign by applying the opposite operation to both sides of it:

`\begin{gathered} P-2l=2w+2l-2l \\ P-2l=2w \end{gathered}`

-divide both sides by 2

`\begin{gathered} 2w=P-2l \\ (2w)/(2)=(P-2l)/(2) \\ w=(P-2l)/(2) \end{gathered}`

You know that the rectangular garden has a perimeter of P=370ft, and its length is l=98ft, replace both values on the formula obtained for w:

`\begin{gathered} w=(P-2l)/(2) \\ w=(370-2\cdot98)/(2) \\ w=(370-196)/(2) \\ w=(174)/(2) \\ w=87 \end{gathered}`

The width of the rectangular garden is 87ft