So I'm working with polynomials:

Find the value of x in the geometric shape.
Area=144ð
The radius is: (x+4)cm
PLEASE HELP.D:

144 = (3.14)(x+4)^2

144/3.14 = (x+4)^2
45.86 = x^2 + 16
45.86 - 16 = x^2
29.86 = x^2
square root both sides and you get
x = 5.46

To find the value of x in the geometric shape, we first need to determine the formula for the area of the geometric shape. Based on the information given, it is likely that the shape in question is a circle, since the radius is mentioned.

The formula for the area of a circle is: A = πr^2, where A represents the area and r represents the radius.

In this case, we are given the area (144π) and the radius (x+4). We can set up an equation using this information:

144π = π(x+4)^2

To solve for x, we will first simplify the equation. Let's remove the π from both sides:

144 = (x+4)^2

Now, we can take the square root of both sides to isolate x+4:

√144 = √(x+4)^2

Taking the square root of 144 gives us:

12 = x+4

Finally, to solve for x, we subtract 4 from both sides of the equation:

12 - 4 = x

Therefore, x = 8.

So the value of x in the geometric shape is 8 cm.