Question
Jack wants to install a swimming pool that is 12m long and 8m wide. He wants to install a rubberized safety border of uniform width around the pool. The width of the safety border is represented by x and the area of the safety border is 44 m^2.
a) Write an expression in terms of x for the length and width dimensions of the outside safety border.
b) What is the total area of the pool and border?
c) Write a quadratic equation that could be used to calculate the width of the safety border.
d) How wide is the safety border around the pool?
a) Write an expression in terms of x for the length and width dimensions of the outside safety border.
b) What is the total area of the pool and border?
c) Write a quadratic equation that could be used to calculate the width of the safety border.
d) How wide is the safety border around the pool?
Answers
Reiny
length including border = 12 + 2x
width including border = 8 + 2x
area including border = (12+2x)(8+2x) = .....
area of just the pool = 12(8) = ....
the difference would be the area of the border.
then (12+2x)(8+2x) - 12*8 =44
simplify and solve for x
I assume you know how to solve quadratics, or else you wouldn't be doing this type of question.
width including border = 8 + 2x
area including border = (12+2x)(8+2x) = .....
area of just the pool = 12(8) = ....
the difference would be the area of the border.
then (12+2x)(8+2x) - 12*8 =44
simplify and solve for x
I assume you know how to solve quadratics, or else you wouldn't be doing this type of question.
Seth
Can you find for the width of the border jack can install