The perimeter of a rectangular field is 560m.The length of the field is an eigth third of this distance.Find the length of the field.Find the width of the field
an eigth third ???
Let's assume the length of the field as L and the width as W.
To find the length of the field:
Given, the perimeter of a rectangle is 560m.
Perimeter = 2 × (Length + Width)
Therefore, 2 × (L + W) = 560
Simplifying the equation: L + W = 280 ...(Equation 1)
Given, the length of the field is an eighth (1/8) of the total perimeter.
So, L = (1/8) × 560
Simplifying: L = 70
Substituting the value of L in Equation 1: 70 + W = 280
Simplifying: W = 280 - 70
Therefore, the length of the field is 70m and the width is 210m.
To find the length of the rectangular field, we need to follow these steps:
Step 1: Let's assume the length of the field is L and the width is W.
Step 2: Given that the perimeter of the field is 560m, we can write the equation:
2L + 2W = 560
Step 3: From the given information, we know that the length of the field is one-eighth (1/8) of the perimeter:
L = (1/8) * 560
Step 4: Simplifying this equation, we find:
L = 70
Therefore, the length of the field is 70 meters.
To find the width of the rectangular field, we can use the equation from step 2:
2L + 2W = 560
Since we know the length (L) is 70 meters, we can substitute that into the equation:
2(70) + 2W = 560
Simplifying further:
140 + 2W = 560
2W = 560 - 140
2W = 420
Now divide both sides by 2:
W = 420 / 2
W = 210
Therefore, the width of the field is 210 meters.