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
Accepted Solution
A:
Answer: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 [tex]9\frac{1}{4}[/tex] and a width of [tex]4\frac{1}{2}[/tex] feet.
Length = [tex]9\frac{1}{4} = \frac{37}{4}[/tex]width [tex]= 4\frac{1}{2} = \frac{9}{2}[/tex]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[tex]\begin{array}{l}{=2\left(\frac{37}{4}+\frac{9}{2}\right)} \\\\ {=2\left(\frac{37}{4}+\frac{18}{4}\right)} \\\\ {=2\left(\frac{55}{4}\right)} \\\\ {=\frac{55}{2}=27.5}\end{array}[/tex]This is the perimeter of one rectangle, but Mark wants to fence 4 such gardens, therefore the total fence required is:
= 4 [tex]\times[/tex] 27.5
= 110 feetHence the total length of fence required to fence 4 gardens by Mark is 110 feet.