Figure A: 5•3=15
Figure B: 3•6=18
Figure C: 4•4=16
Figure D: 4•3=12
Figure B has the largest perimeter
25d - 250 | - 575d^2 + 2277d + 34362
Answer:
C. The 6th term is positive/negative 80
Step-by-step explanation:
Given
Geometric Progression


Required

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;
To solve the common ratio;
Divide the 7th term by the 5th term; This gives

Divide the numerator and the denominator of the fraction by 40
----- equation 1
Recall that the formula of a GP is

Where n is the nth term
So,


Substitute the above expression in equation 1
becomes


Square root both sides

r = ±
Next, is to solve for the first term;
Using 
By substituting 160 for T5 and ±
for r;
We get


Multiply through by 16



Now, we can easily solve for the 6th term
Recall that the formula of a GP is

Here, n = 6;



r = ±
So,
or 
or 
or 
±80
Hence, the 6th term is positive/negative 80
To calculate the area of a triangle, multiply the base and the height, then divide the product by 2.
7*8=56
56/2=28
Area=28 feet squared