The cosmic pool company is building a pool in mary's back yard. the pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. determine both dimensions of the pool and the perimeter

Part 1) The dimensions are

Length is , Width is

Part 2) The perimeter is

Step-by-step explanation:

Part 1) Determine both dimensions

Let

x-----> the length of the pool

y----> the wide of the pool

we know that

The area of the rectangle (pool) is equal to

we have

so

-----> equation A

----> equation B

substitute equation B in equation A and solve for y

using a graphing tool to solve the quadratic equation

the solution is

see the attached figure

Find the value of x

------>

Part 2) Find the perimeter

The perimeter of rectangle (pool) is equal to

we have

substitute

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.