This is long so if you can't answer it all in one i can repost the question Some students at MDVS are planning on planting a garden this spring. They want to plant squash, pumpkins, corn, beans, and potatoes. They plan for the field layout in feet is shown in the figure below. Use the figure and your knowledge of polynomials, perimeter, and area to solve the following:
a) Write an expression that represents the length of the North side of the field.
b) Simplify the polynomial expression that represents the North side of the field.
c) Write a polynomial expression that represents the perimeter of the beans field.
d) Simplify the polynomial expression that represents the perimeter of the beans field. State one reason why the perimeter would be useful to the Garden Club.
e) Write a polynomial expression that represents the area of the potato field.
f) Simplify the polynomial expression that represents the area of the potato field in descending order. State one reason why the calculated area would be useful to the Garden Club.
g) Write and simplify the polynomial expression that represents the area of the bean field if = 3. What unit would the area of the bean field have?
h) The Club would like their bean plants to grow to a height of ( + 2). Write a polynomial expression to find the volume of the bean plants if they reach a height of ( + 2).
i) Simplify the polynomial expression that represents the volume of the bean plants if they reach a height of ( + 2) feet in descending order.
j) The club realized they forgot to include a zucchini field into the field layout. They plan to use half the length and half the width of the squash field to plant zucchini. Write a polynomial expression that represents the area of the new zucchini field.
k) Simplify the polynomial expression that represents the area of the newly added zucchini field.
l) (don't do this one if you want to Write and simplify polynomial expressions that represent the perimeter and area of the cornfield. (Extra-credit)