Answer:
Therefore,
We do not have enough wire for fencing to enclose the garden,
that means 10 yards of wire is not enough.
We require 12 yards of wire for fencing.
Step-by-step explanation:
Given:
Let "L" and "W" be the Length and Width of the Rectangular Garden such that,
Width = W = 7.5 feet,
Area of Garden = 78.75 square feet
Total wire for fencing is 10 yards given
1 yard = 3 feet
therefore 10 yard = 30 feet wire is there for fencing
To Find:
Total wire require for fencing = ?
Solution:
Area of Rectangle is given by
[tex]\textrm{Area of Rectangle}=Length\times Width[/tex]
Substituting the values we get
[tex]78.75=Length\times 7.5\\\\Length=\dfrac{78.75}{7.5}=10.5\ feet[/tex]
Now for fencing of the garden it will require to cover the whole rectangular shape garden so the total wire required for the fencing will be the perimeter of rectangle,
Now Perimeter of rectangle is given by,
[tex]\textrm{Perimeter of rectangle}=2(Length+Width)[/tex]
Substituting the values we get
[tex]\textrm{Perimeter of rectangle}=2(10.5+7.5)=36\ feet[/tex]
1 yard = 3 feet
Therefore, [tex]36\ feet =\dfrac{36}{3}= 12\ yards[/tex]
Therefore,
We do not have enough wire for fencing to enclose the garden,
that means 10 yards of wire is not enough.
We require 12 yards of wire for fencing.
