SOLUTION: Kevin is mowing his yard. He wants to calculate the area that he needs to mow. He splits his yard into his backyard and front yard. Work through the problems below to find the tota

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Kevin is mowing his yard. He wants to calculate the area that he needs to mow. He splits his yard into his backyard and front yard. Work through the problems below to find the tota      Log On


   



Question 1140119: Kevin is mowing his yard. He wants to calculate the area that he needs to mow. He splits his yard into his backyard and front yard. Work through the problems below to find the total area she needs to mow.
1) Find a polynomial that describes the area of the lawn which Kevin has to mow in his front yard. The diagram shown below is his front yard. Note: There are not any obstructions in the front yard. Hint: The polynomial in your final answer should have three terms and must be completely simplified.
The width of the shed is 4x+9 and the length is 7x-13
2) Find a polynomial that describes the area of the lawn which Kevin has to mow in his backyard. The diagram below represents his backyard. The green area is where he needs to mow. He will NOT mow through the shed (the orange rectangle). Hint 1: The area of the lawn is the area of the large rectangle minus the area of the smaller rectangle. Hint 2: The polynomial in your final answer should have three terms and must be completely simplified.
the width of the backyard is 5x-8 and the length is 12x+1
The width of the shed is 3x-2 and the length is 4x
3) Find the total area that Kevin needs to mow.
Hint: Add the area from part (1) and (2) together to find the total area.
4.)Using the expression in part (3), find the area of grass if x=12 ft

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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...., The diagram shown below is his front yard. Note: There are not any obstructions in the front yard. Hint: The polynomial in your final answer should have three terms and must be completely simplified.
The width of the shed is 4x+9 and the length is 7x-13.
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Finally after reading later, in (2) is found the given information you need, which should be seen in your missing diagram.
Backyard width, 5x-8
Backyard length, 12x+1
Shed width,4x+9
Shed length, 7x-13
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Now, WHERE IS THE GREEN AREA HE IS SUPPOSED TO MOW?

Why also are different expressions given later for the shed without any explanation or conditions?