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September 22, 2014

September 22, 2014

Posted by **G** on Monday, May 26, 2008 at 3:56pm.

The book says the answer is 20 feet. I know how to solve the equation. I do not know where the 20 feet is coming from.

Problem:

Mr. Ingram wants to add a garage to his home. The dimensions of his home are 50ft by 20ft. When securing his buisling permit, he found that his home with the garage cannot be more then 1,400 square feet. How long can he extend the side of his house that is 50ft. long so that his remoding project will follow the code?

Using FOIL:

(X+50) (X+20) = 1,400

X^2+75X-400=0

(X-5) (X+80)

X=5

X=-80

The answer I get is the 5 ft. Where is the 20 feet coming from?

- Algebra -
**Reiny**, Monday, May 26, 2008 at 4:25pmIt is easier than you made it

You said <How long can he extend the side of his house that is 50ft. long..> so only the length is to be extended.

then 20(x+50) = 1400

20x + 1000 = 1400

20x = 400

x = 20

- Algebra -
**tchrwill**, Monday, May 26, 2008 at 4:26pmOnly toe 50 ft. side is being increased.

Therefore, 20(x + 50) = 1400 or

20x + 1000 = 1400 or 20x = 400 making x = 20 ft.

- Algebra -
**Reiny**, Monday, May 26, 2008 at 4:44pmWow, 3 postings in a row where we were just minutes apart, and almost identical solutions.

Who said great minds don't think alike, lol

- Algebra -

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