The area of a square plot of land is 1156m2. The plot is to be fenced with three strands of wire. What is the length of the wire that is needed?
Area = S2
√1156 = S
S=34
P = 4s = 136
= 136(3) = 408
To find the length of wire needed to fence the square plot, follow these steps:
Step 1: Find the length of one side of the square.
- The area of the square is given as 1156m2.
- Use the formula for the area of a square, A = s^2, where A is the area and s is the length of a side.
- Take the square root of 1156 to find the length of one side of the square: √1156 = 34.
- Therefore, the length of one side of the square is 34m.
Step 2: Find the perimeter of the square.
- The perimeter of a square is given by the formula P = 4s, where P is the perimeter and s is the length of a side.
- Substitute the length of one side (34) into the formula: P = 4 * 34 = 136m.
- Therefore, the perimeter of the square plot is 136m.
Step 3: Find the total length of wire needed.
- Since the plot is to be fenced with three strands of wire, multiply the perimeter by 3: 136 * 3 = 408m.
- Therefore, the length of wire needed to fence the plot is 408m.
To find the length of wire needed to fence the plot, we need to calculate the perimeter of the square plot.
The area of the square plot is given as 1156m^2. To find the length of each side of the square (represented by 'S'), we take the square root of the area.
√1156 = S
Simplify the square root:
S = 34
So, the length of each side of the square plot is 34m.
To find the perimeter, we multiply the length of one side by 4 because a square has equal sides.
P = 4S
P = 4(34)
P = 136
The perimeter of the square plot is 136m.
However, we need to fence the plot with three strands of wire, so we need to multiply the perimeter by 3.
Total wire length needed = 136 * 3 = 408m
Therefore, the length of wire needed to fence the plot is 408m.