SOLUTION: The Malik's want to build an even tile border around their pool. Their pool is 110 feet long by 40 feet wide. Let x= width of the border.
1.) Write an expression for the area
Algebra.Com
Question 716557: The Malik's want to build an even tile border around their pool. Their pool is 110 feet long by 40 feet wide. Let x= width of the border.
1.) Write an expression for the area of the border in terms of x.
2.) If the Malik's have calculated that they will need 936 square feet of tile for the border they chose, how wide is it? Use a strategy other than the quadratic formula.
Thank you so much for whatever help you can provide!
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Total Area minus pool area gives border area.
= Border Area. That simplifies depending on how far you take it, to Border Area =. Note that the pool "area" alone is sq.ft.
Finding how wide the border if the area must be 936 sq.ft., why would we not use quadratic formula? If we begin with , when we carry through the steps, ... we obtain without any trouble, the much simpler and good equation of ...
.
That does not appear factorable. Why should we use something other than quadratic formula? THE TRICK IS TO FACTOR 234.
, and 3 and 2*3*13 are the same as 3 and 78.
The quadratic equation could be factored into:
.
The reasonable answer finally is 3 feet width. x=3.
RELATED QUESTIONS
John and Chris Maney have designed a new in-ground swimming pool for their backyard. The... (answered by ankor@dixie-net.com)
jess and her husband made a rectangular swimming pool measuring 28 feet by 42 feet. They... (answered by KMST)
Dimensions of a Border Around a Pool
A club swimming pool is 30 feet wide and 40 feet... (answered by ankor@dixie-net.com)
The rectangular pool at the Peabody is 27 feet wide. To put border tile around the pool... (answered by laura333free)
jess and her husband made a rectangular swimming pool measuring 28 feet by 42 feet. They... (answered by josgarithmetic)
The rectangular pool at the Peabody is 27 feet wide. To put border tile around the... (answered by checkley79)
A 35 ft by 30 ft pool has just been installed. Your task is to choose a material to... (answered by macston)
I need help solving this word problem. A club swimming pool is 30 feet wide and 40 feet... (answered by josgarithmetic,greenestamps)
A rectangular swimming pool is 8 meters long and 12 meters wide. A tile border of... (answered by prince_abubu)