The perimeter of a square garden is 252 feet. How long is each side?

The length of each side of the square =

Step-by-step explanation:

A square is a 2-D figure that have all its four sides equal and all its four angles equals 90°

The perimeter of any 2-D figure is the total length of its boundaries making the figure.

The perimeter of the Square having each side 'S' =  or  

Given perimeter of the square is

     Perimeter of the square=

So, the length of each side of the square is

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x