We have a rectangular garden. The length of the garden is 7 feet longer than its width.
Lets say the width of the garden is 'x' feet. So, the length of the garden must be [tex](x+7)[/tex] feet.
Length [tex]=(x+7)[/tex] feet
Width [tex]=x[/tex] feet
We have been given that the perimeter of the garden is 186 feet.
Now as we know that the perimeter of the rectangle is:
[tex]2(length+width)[/tex]
Plugging the values of length and width in the equation, we get:
Perimeter [tex]= 2((x+7)+x)=2(2x+7)=4x+14[/tex]
We know that perimeter of the garden is equal to 186 feet,
So,
[tex]186=4x+14[/tex]
Solving for 'x' we get:
[tex]4x+14=186[/tex]
[tex]4x=186-14=172[/tex]
[tex]x=\frac{172}{4} =43[/tex]
We had assumed that the width of the garden is 'x' feet and now that we have the value of 'x'. We can say that:
The width of the rectangular garden is 43 feet.
