Could someone help me w/ this algebra 1 review?

Question

im in plane geo (h) and we got this review of alg but i 4got how 2 do it!

the top of page reads: draw a diagram and write equations for perimeter and area to help you solve each problem. i got # 1

2. a circle has area pi(x^2 + 6x + 9) Find the circumference.

3. Find the area of a square that has a perimeter of 6n + 4.

4. A parallelogram with an area of 6x^2 + 7x + 2 has a height of 2x + 1 . Find its base.

5. Find the maximum polygon area that can be enclosed with a rope that is 8c long.

6. A circle encloses a square with sides of length 2x. find the area and perimeter of each (the circle and the square.

u dont hafe 2 draw pics lik the directions said but if u can plz show ur work. Also, if u know them all great if not PLZ! answer what u can

thanx - thefattestcow

Answer 1

2) pi r^2 = pi (x-3)^2

Thus r = (x-3) (This has to be positive so ignoring (-) sign while taking root)

Circumference = 2*pi*r = 2 * pi * (x-3)

3) 4l = 6n =4

  l = length of square

  l = 3/2n + 2

Area = l^2  = (3/2n +2)^2

6) here diameter of circle = length of a side of square.

Thus radius of circle = x

Area = pi * x^2

Permimeter = 2 * pi * x

Area of square = 4x^2

Perimeter of square  = 8x