A farmer has 70 meters of fencing to enclose a rectangular garden that has one side of the garden against a barn. Let l represent the length of the rectangular garden (in meters). (Notice that the 90 meters of fencing is needed for only 3 sides of the garden.) Suppose the length of the garden is 30 meters (l = 30). What is the width of the garden? What is the area of the garden?

Question

Mathematics

Ellen Vega

26 March, 01:51

A farmer has 70 meters of fencing to enclose a rectangular garden that has one side of the garden against a barn. Let l represent the length of the rectangular garden (in meters). (Notice that the 90 meters of fencing is needed for only 3 sides of the garden.) Suppose the length of the garden is 30 meters (l = 30). What is the width of the garden? What is the area of the garden?

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Answers (1)

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Terry Shah · Answer 1

This is B and C

Step-by-step explanation:

(B) L + 2w = 70

2w = 70 - L

w = (70 - L) / 2

(C) Area as a function of L:

Area = length * width

= L * (70-L) / 2