Question

Mark wants to fence 4 rectangular garden each with a length of 9 1/4 feet and width of 4 1/2 Feet what is the total length of fencing mark needs to surround all 4 gardens

Answer 1

The total length of fence required to fence 4 gardens by Mark is 110 feet.

Solution:

Mark wants to fence 4 gardens.

Each garden has a length of
`9(1)/(4)` and a width of
`4(1)/(2)` feet.

Length =
`9(1)/(4) = (37)/(4)`

width
`= 4(1)/(2) = (9)/(2)`

And we know that the garden is in the shape of a rectangle.

So, the formula to find the perimeter of a rectangle is:

Perimeter of a rectangle = 2(l + b)

Where l and b are length and width of the rectangle.

Substituting the value of l and b in the perimeter formula we get

`\begin{array}{l}{=2\left((37)/(4)+(9)/(2)\right)} \\\\ {=2\left((37)/(4)+(18)/(4)\right)} \\\\ {=2\left((55)/(4)\right)} \\\\ {=(55)/(2)=27.5}\end{array}`

This is the perimeter of one rectangle, but Mark wants to fence 4 such gardens, therefore the total fence required is:

= 4
`*` 27.5

= 110 feet

Hence the total length of fence required to fence 4 gardens by Mark is 110 feet.