a field 480,000 m^2 is 160 m wide. What length of fencing is needed to enclose it?
i thought you would just have to do A=lw
480,000= l(160)
l= 3000
but the answer is wrong. the correct answer is in the six thousands.
please help
ohhh, now i get it....6320m
i thought of that at one point, but didn't try doing it
thanks Ms. Sue :)
Ok -- as far as you went.
You found the length of one side, which is 3,000 meters.
But the question asks for the length of fencing needed to enclose the field. In other words, you need the perimeter of the field.
P = 2L + 2W
P = ??
You're welcome.
Excellent
To find the length of fencing needed to enclose the field, you need to consider the area and the width of the field. However, the formula you used, A = lw, only calculates the area and not the perimeter or length of fencing required.
To find the length of fencing, you need to calculate the perimeter of the field, which is the sum of all sides. In this case, since you only know the width of the field, you need to find the length. Here's how you can do it:
1. Recall that the formula for the perimeter of a rectangle is P = 2l + 2w, where l represents the length, and w represents the width.
2. Substitute the given width into the equation: 2l + 2(160) = P.
3. Simplify the equation: 2l + 320 = P.
4. As you correctly found out that the area of the field is 480,000 m^2, you can now calculate the length using the area and width: A = lw. Substitute the values: 480,000 = l(160).
5. Solve for l by dividing both sides of the equation by 160: l = 480,000 / 160 = 3000.
Now that you know the length of the field is 3000 m, you can substitute this value back into the equation (2l + 320 = P) to find the perimeter or the total length of fencing needed.
P = 2(3000) + 320 = 6000 + 320 = 6320 m.
Therefore, the correct answer is 6320 meters of fencing is needed to enclose the field.