Equations/factors

Question

Barn

Mr. Allen, a former math teacher at Silver Creek, has obtained special permission from his neighborhood association to build a bigger garage. He now can have a maximum area of 1080 ft2. He wants to adapt his plans so he can make his garage as large as possible. The original dimensions of the garage plans were 36.7 feet by 23 ft. He wants to add the same amount to both dimensions. How much can he add and still be within the maximum area? (Round to the nearest 10th of a foot.)



23 ft

36.7 ft

These two are in the first box what wil be at second box ?

Answer 1

Dear Pearl,

     Here is the table that you want to make:

 

Original dimensions       Same amount added on      New dimensions        New Area

23 ft.                                     X                              (X+23)                 (X+23)(X+36.7)≤1080 sq. ft.

 

36.7 ft.                                  X                              (X+36.7)               X² +59.7X+844.1 ≤1080 sq.ft. 

 

 

Also, you can start substituting values for X, such as trying X=4.5, X=5.0,  X=6, (5+23)(5+36.7), and then multiply it out to see if the answer is equal to 1080 or less, but not more than this answer. 

 

I hope this helps.

 

 

Answer 2

^{Ooops, wrong question.}