The ratio of the length of a rectangular field to its width is 10:7. If the width of the field is 70 meters, find the perimeter of the field
The length is 100 meters.
P = 2L + 2W
To find the perimeter of the rectangular field, we need to know both its length and width.
Given that the ratio of the length to the width is 10:7, we can determine the length by setting up a proportion.
Let's assign the width a value of 7x, where x represents a common factor between the length and width. Since the width is given as 70 meters, we can solve for x by setting up the equation:
7x = 70
Dividing both sides by 7:
x = 10
With x equal to 10, we can find the length by multiplying x by the ratio of length to width:
10 * 10 = 100
So the length of the rectangular field is 100 meters.
To find the perimeter, we add up all the sides of the rectangle:
Perimeter = 2 * (length + width)
Plugging in the values:
Perimeter = 2 * (100 + 70)
Perimeter = 2 * 170
Perimeter = 340
Therefore, the perimeter of the field is 340 meters.