A rectangular swimming pool is 40 feet long and 20 feet wide. The pool is bordered by square tiles that are x feet in length surrounding the pool. Write an expression that represents the longest side of the pool and the tile border.

(40 + 2x)feet

Step-by-step explanation:

see attachment for the figure.

Let 'L' represents the length of the rectangular swimming pool i.e 40ft wide.

and pool is bordered by square tiles that are x feet in length surrounding the pool

therefore,

In order to find the longest side of the pool and the tile border, take the sum of  length of the swimming pool i.e 40 adding two times the wide of the square tiles

(40+2x)feet.

question:

could we have options?

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet