We have been asked to write and solve an equation in order to determine the length of the walls in the greenhouse. Since each section is of the same length, but we do not know this length, let x represent the length of each section.
Forming the Equation
On one wall, we have a 7 foot storage area and 5 equal sections x.
Length_(Wall A)=7+5x
The opposite wall has a 4 foot storage area and 6 equal sections.
Length_(Wall B)=4+6x
Since the two walls are equal in length, we can set the two equal to each other.
7+5x=4+6x
Solving the Equation
In order to find the length of a wall, we need to first find the length of a planting section. We can find this information by solving the equation created above.
Now that we have solved the equation, we need to check our work. We do this by substituting the solution back into the equation for all instances of x.
