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LG-Landscaping

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FC: By: Louie Graziano | Proper Landscaping for Walkways and Ponds

1: Question 2 A rectangular pond 5 meters by 7 meters is to be surrounded by a walkway of uniform width x. Write the length and width of the region (including the walkway) as a function of x. What kind of functions are these? Write the area of the region as a function of x. What kind of function is this? Predict the area of the region if the walkway is 1, 2, and 3 meters wide. Find the width of the walkway which makes the region have an area of 150 square meters. Find the width of the walkway which makes the walkway have an area equal to the area of the pond.

2: Write the length and width of the region (including the walkway) as a function of x. What kind of functions are these? | W= (5+2x) L= (7+2x)

3: Write the area of the region as a function x. What kind of function is this? | y= (5+2x)(7+2x)=0 35+10x+14x+4x^2=0 A= 4x^2+24x+35

4: Predict the area of the region if the walkway is 1,2, and 3 meters wide. | f(1)= (5+2(1))(7+2(1))=63m^2 f(2)= (5+2(2))(7+2(2))= 99m^2 f(3)= (5+2(3))(7+2(3))=143m^2

5: Find the width of the walkway which makes the region have an area of 150 square meters. | f(x)= (5+2x)(7+2x)=150 35+10x+14x+4x^2=150 4x^2+24x-115=0

6: Find the width of the walkway which makes the walkway have an area equal to the area of the pond. | W= 2x=2(17.5) Area of the Pond = 35m^2

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  • By: louie g.
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  • Title: LG-Landscaping
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