Question

A summer camp has 720 ft of float line with which to rope off three adjacent rectangular areas of a lake for swimming​ lessons, one for each of three levels of swimming ability. A beach forms one side of the swimming areas. Suppose that the width of each area is x feet. Answer parts​ a) through ​c).

Answer 1

Explanation:

Kindly find attached a detailed image to better understand the solution to this problem.

given that the total length of the line is 720ft

and also the line is divided into three sections

This means that the line will also be divided into three parts

720/3= 240feet so that a section will have two sides that are 240ft since the section forms a rectangular shape.

now for the other two sides

the total length of the rope is = one length size of the rectangle+ 4 width size of the rectangle

one width size of the rope is x

then 4 width size is 4x

720=length of rectangle +4x

length of rectangle= 720-4x

area of a rectangle is =length *width

area of rectangle is = (720-4x)*x

Hence the function A= (720-4x)x can be used to solve for the area of the rectangle.