SOLUTION: An architect is designing a house for the Frazier family. In the design he must consider the desires of the family and the local building codes. The rectangular lot on which the h

Question 169098: An architect is designing a house for the Frazier family. In the design he must consider the desires of the family and the local building codes. The rectangular lot on which the house will be built has 91 feet of frontage on a lake and is 158 feet deep.
The building codes states that one can build no closer than 10 ft. to the lot line. Write an inequality and solve to see how long the front of the house facing the lake may be.
answer:length = 91 - 2*10 = 71 ft.

The Fraziers requested that the house contain no less 2800 ft square and no more than 3200 ft square of floor sample. Write an inequality to represent the range of permissible widths for the house.
answer: 2800 <= area <= 3200
2800 <= (length)(width) <= 3200
2800 <= 71w <= 3200
39.44 <= width <= 45.07
List other information the Fraziers should consider in making their decision concerning the width of the house.
answer: ?

The Fraziers have asked that the cost of the house be about $175,000 and are willing to deviate from this price no more than $20,000. Write an open sentence involving an absolute value and solve. Give the meaning of the answer.
answer: ?

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Answer by vleith(2517) (Show Source):
You can put this solution on YOUR website!
List other information the Fraziers should consider in making their decision concerning the width of the house.
answer: ?
Well, number of floors is a factor. If they are willing to have several stories or a basement, then the dimensions can change a bunch and still fit inside the 'lot line'.
I am sorry to say, I can't think of a good answer for the open ended sentence