Answer:
Step-by-step explanation:
Using the given expressions, we can write the area as ...
A = BH
42 = (2x +1)(x +3) = 2x^2 +7x +3
2x ^2 +7x -39 = 0
(x -3)(2x +13) = 0
x = 3 or -6.5 . . . . . these values make the factors be zero
In order for the parallelogram to have positive dimensions, the value of x must be 3. So, the base and height are ...
base = 2(3) +1 = 7
height = 3 +3 = 6
The squiggly lines and the 2 straight lines through to sides of the pentagon mean that they are congruent (equal in length).
So, to find the perimeter of a regular polygon, you add all of its sides together.
So, the perimeter= 4x-2+x-2+x-2+x+2+x+2
To simplify it, add all of the x's together.
4x+x+x+x+x=8x
Perimeter=8x-2-2-2+2+2
-2-2=-4-2=-6+2=-4+2=-2
Perimeter=8x-2
Reach out to me if you have any questions. I'd be glad to help! :)
