A yard is in the shape of a rectangular 84 ft long and 65 feet long. If fencing cost $10.75 a foot, what will it cost to place fencing around the garden? Round to the nearest cent as needed.

$3203.50.

Step-by-step explanation:

The perimeter of the yard = 2 * 84 + 2 *65 =  298 so we need 298 feet of fencing.

The cost = 298 * 10.75

= $3203.50.

Step-by-step explanation:

The perimeter of a plane shape is the distance around it. The yard is rectangular in shape. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

The rectangular yard is 84 ft long and 65 feet long. The perimeter of the yard is

2(84 + 65) = 2 × 149 = 298ft²

If fencing cost $10.75 a foot, the total cost of placing fencing around the garden would be

10.75 × 298 = $3203.5 to the nearest cent.

i would you but i don't under stand the qustion

step-by-step explanation:

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