SOLUTION: I need help in finding the area, length, and width of the garden and I also need to solve each of theses problems and show my work, but I don't know where to begin. Can someone pl

Question 621529: I need help in finding the area, length, and width of the garden and I also need to solve each of theses problems and show my work, but I don't know where to begin. Can someone please help me?
Part One - Gina wants to begin by figuring out how long the corn bed will be. She knows that in her previous two gardens, she was able to plant 2 rows in a 5 foot long space and 5 rows in an 11 foot long space. Find a linear equation for the length of the bed (y) in which she can fit x rows of corn.
Hint: Use the two pairs of values from her previous two gardens to write two ordered pairs of the form (x,y), then use these pairs to write an equation of the form y = mx + b.

Part Two - If Gina wants the corn bed to be12 feet in width, write an expression for the area of the corn bed (assuming she is going to plant x rows of corn). Simplifying my answer.
Part Three - Next, Gina plans to plant a square bed of peas. If the length of each side of the pea bed is 3 feet less than the length of the corn bed (from #1), what is the length of each side of the pea bed? Simplify my answer.
Part Four - Find an expression for the area of the pea bed. Simplify your answer.
Part Five - In order to know how much topsoil the beds will need altogether, Gina needs to know the total square footage of both of the beds. Write an expression for the combined area of the two beds. Simplify your answer by combining like terms.
Please help me to understand and solve these equations.. Thanks in advance for any suggestions or recommendations.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Part One - The ordered pairs of the form (x,y) are (2,5) and (5,11).
The slope of the linear equation for the length of the bed (y) in which she can fit x rows of corn is

The the linear equation of the form y = mx + b is
and substituting the coordinates of point (2,5),
--> --> -->
So

Part Two - If Gina wants the corn bed to be 12 feet in width, and it is long, the area will be
or

Part Three - If the length of each side of the pea bed is 3 feet less than the length of the corn bed (from #1), the length of each side of the pea bed is .

Part Four - The area of the pea bed is
, so

Part Five - The total square footage of both of the beds (the combined area of the two beds) is

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