The relationship between the number of pentagons and the perimeter will be

From the diagram in the question, each side of a pentagon has length
.
Also, each time another pentagon is attached, a side is removed.
Using these observations, we can create a relationship between the number of pentagons,
, and the perimeter,
, as follows
For 

For 

For 

The relationship will be

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Answers:
x = -3
base angle = 49 degrees
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Work Shown:
The missing angle is (2x+55) degrees since the base angles are congruent.
Add up the three angles and set the sum equal to 180. Solve for x.
(82)+(2x+55)+(2x+55) = 180
4x+192 = 180
4x = 180-192
4x = -12
x = -12/4
x = -3
Use this x value to find the base angle
B = base angle
B = 2x+55
B = 2*(-3)+55
B = -6+55
B = 49 degrees
Answer:
D
Step-by-step explanation:
Area of figure
= area of triangle +area of rectangle
Area of triangle
= ½ ×base ×height
= ½(6)(3.5)
= 10.5 ft²
Area of rectangle
= length ×breadth
= 6(4.6)
= 27.6 ft²
Area of figure
= 10.5 +27.6
= 38.1 ft²
Thus, option D is correct.
Step-by-step explanation:
