Mr. Smith built a fence around a piece of land he wons. The piece of land is 30 yards long and 12 yards wide. How may feet of fencing did Mr. Smith use to build the fence?
P = 2L + 2W
P = 2(90) + 2(36)
P = ?
To calculate the total amount of fencing Mr. Smith used, we need to find the perimeter of the land. The perimeter is the distance around the outside of a shape.
Given that the land is 30 yards long and 12 yards wide, we can calculate the perimeter as follows:
Perimeter = 2 × (Length + Width)
Plugging in the values:
Perimeter = 2 × (30 yards + 12 yards)
Performing the addition inside the parentheses:
Perimeter = 2 × (42 yards)
Multiplying 2 by 42:
Perimeter = 84 yards
So, Mr. Smith used 84 yards of fencing to build the fence.
Now, let's convert this into feet, as the question asks for the answer in feet.
We know that 1 yard is equal to 3 feet. Therefore, to convert yards to feet, we multiply by 3.
Fencing in feet = Perimeter in yards × 3
Plugging in the value:
Fencing in feet = 84 yards × 3
Multiplying 84 yards by 3:
Fencing in feet = 252 feet
Hence, Mr. Smith used 252 feet of fencing to build the fence around his land.