I want to fence a rectangular garden which measures 33 by 24 feet. If the fencing I want costs $4.50 per yard, how much will it cost me for the fencing if I want to leave a two foot opening for a gate? (I cannot buy fencing of less than one full yard.)
33 by 24 feet = 11 by 8 yards
2 feet = 0.67 yards
P = 2L + 2W
P = 22 + 16
P = 38 yards
38 - 0.67 = 37.33 yards
38 * 4.50 = $________
To find out the cost of fencing, we need to calculate the total perimeter of the garden that needs to be fenced, taking into account the two-foot opening for the gate.
The length and width of the garden are given as 33 feet and 24 feet respectively. To find the perimeter, we add the lengths of all four sides of the rectangle.
Perimeter = 2(length + width)
Substituting the values, we have:
Perimeter = 2(33 ft + 24 ft)
= 2(57 ft)
= 114 ft
However, we need to account for the two-foot opening for the gate. To calculate the actual length of the fencing required, we subtract the two feet from the perimeter:
Actual Length = Perimeter - 2 ft
= 114 ft - 2 ft
= 112 ft
Next, we need to convert this length from feet to yards. Since 1 yard is equal to 3 feet, we can divide the length by 3:
Length in yards = 112 ft / 3 ft/yard
≈ 37.33 yards
Since you are not allowed to buy less than one full yard of fencing, we must round up to the nearest whole yard. Therefore, the required length of fencing is approximately 38 yards.
The cost of the fencing is given as $4.50 per yard. To calculate the total cost, we multiply the length in yards by the cost per yard:
Total Cost = Length in yards * Cost per yard
= 38 yards * $4.50/yard
= $171
Therefore, it will cost approximately $171 for the fencing, considering the two-foot opening for the gate.