Question

You plant a regular garden that is your 7.5 feet wide and has an area of 78.75 square feet. You have 10 yards of wire fencing. Do you have enough wire fencing to enclose the garden? Please should work

Answer 1

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

$\textrm{Area of Rectangle}=Length\times Width$

Substituting the values we get

$78.75=Length\times 7.5\\\\Length=\dfrac{78.75}{7.5}=10.5\ feet$

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,

$\textrm{Perimeter of rectangle}=2(Length+Width)$

Substituting the values we get

$\textrm{Perimeter of rectangle}=2(10.5+7.5)=36\ feet$

1 yard = 3 feet

Therefore, $36\ feet =\dfrac{36}{3}= 12\ yards$

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.