The perimeter of a square A is 3 times the perimeter of square B. What is the ratio of the area of square A to the area of square B? Pls I need the workings.

9/1

Step-by Step Explanation:

First, you have to establish patterns for squares; they have equivalent side lengths for all four sides and you know that the area is just one side squared.

You can solve it like this: assuming x is the length of a side for square b, you can say that square b’s perimeter is 4x. knowing that the perimeter of square a is three times that, we can express the perimeter of square a as 3(4x) or 12x. we can now find the side length of square a by dividing the perimeter by 4, which gets you 3x.

so the side length of square b is x and the side length of square a is 3x. we can now find the areas of both by squaring them:

area of square a = (3x)^2 = 9x^2

area of square b = (x)^2 = x^2

we can express this as a ratio now:

9x^2/x^2

simplified, the ratio can be expressed as 9/1 (x^2 cancels out)

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

step-by-step explanation: