A rectangular field is to be enclosed with a 1130ft of fencing, if the length of the field is 45ft longer than the width. How long is the field?'
P = 2L + 2W
1130 = 2(W + 45) + 2W
1130 - 90 = 4W
1040 = 4W
260 = W
Let's assume the width of the field is x ft.
According to the given information, the length of the field is 45 ft longer than the width, so the length would be (x + 45) ft.
To calculate the perimeter of the rectangular field, we add up the lengths of all four sides.
Perimeter = 2 * (Length + Width)
Given the perimeter is 1130 ft, we can set up the equation as follows:
2 * (x + 45 + x) = 1130
Simplifying the equation:
2 * (2x + 45) = 1130
4x + 90 = 1130
4x = 1130 - 90
4x = 1040
x = 1040 / 4
x = 260
Therefore, the width of the field is 260 ft.
To find the length, we substitute the value of the width (x) back into the equation:
Length = x + 45
Length = 260 + 45
Length = 305
Therefore, the length of the field is 305 ft.
To find the length of the field, we need to set up and solve an equation based on the given information.
Let's assume that the width of the field is x feet.
According to the given information, the length of the field is 45 feet longer than the width. So the length would be (x + 45) feet.
The perimeter of a rectangle is given by the formula: P = 2l + 2w, where P represents the perimeter, l represents the length, and w represents the width.
Based on the information given, the equation representing the perimeter of the rectangular field is:
1130 = 2(x + 45) + 2x
Now we can solve the equation to find the value of x (width of the field):
1130 = 2x + 90 + 2x
1130 - 90 = 4x
1040 = 4x
x = 1040 / 4
x = 260
So, the width of the rectangular field is 260 feet.
To find the length, we can substitute the value of x in the expression for the length:
Length = x + 45
Length = 260 + 45
Length = 305
Therefore, the length of the rectangular field is 305 feet.