A rectangular field is 3 yards longer than twice its width. If the perimeter is 156 yards. How wide is the field?
3*2=6
6*2=12
6*2*12=156 ??
P = 2L + 2W
156 = 2(2W + 3) + 2W
156 = 6W + 6
150 = 6W
25 = W
2*25 + 3 = 53 = L
To solve this problem, let's denote the width of the rectangular field as 'w'.
According to the given information, the field is 3 yards longer than twice its width. So, the length of the field would be (2w + 3).
The perimeter of a rectangle is calculated by adding the lengths of all sides. In this case, the perimeter is given as 156 yards.
To find the width, we need to set up an equation using the given information:
Perimeter = 2 Lengths + 2 Widths
156 = 2(2w + 3) + 2w
Now, we can simplify the equation by distributing the 2:
156 = 4w + 6 + 2w
Combining like terms:
156 = 6w + 6
Next, we isolate the variable:
156 - 6 = 6w
150 = 6w
Finally, divide both sides by 6:
150/6 = w
w = 25
Therefore, the width of the field is 25 yards.