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need answer withinn 15 min A gardener has a fixed area of 25 square meters on their lawn that they wish to be fenced off

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need answer withinn 15 min

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A gardener has a fixed area of 25 square meters on their lawn that they wish to be fenced off for growing some vegetables. The area is to be in a rectangle or square shape (they have not decided yet - they want to do it in the most economical way possible). The goal is to fence off the 25 square meter area, but using the smallest total amount of fencing for the length and width of the rectangle or square. Variables; Let x be the length, let y be the width, and let P be the perimeter (total distance of all sides) of the rectangle or square. Let A represent the area of the rectangle or square (which we know is 25). Answer the questions below (a) What is the basic formula that needs to be minimized? Amxy A = 25 - P = 2x + 2y P = 25 (b) We know that A = 25. What equation does this lead you to for the variables x and y? oxy = 25 -2x + 2y = 25 cx+ y = 25 oxy + 2x + 2y = 25 (c) Solve for the variable y from the correct option in part (b) and substitute this into the correct option from part (a) (i.e. substitute this into the formula you're trying to minimize). This means you are trying to minimize the following equation: = 25x P = 2x+ 20 P = 2x + 50 A = 50x (d) Carry out the procedure we saw in class to find the solution to this problem. Enter positive numbers only into the blanks below, rounded to 1 decimal place if needed: The length should be x meters, the width should be y = meters, giving a minimum of total meters of fencing for the entire thing

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