The length of the rectangular field is 6m longer than 3m times its bredth.what are the measurements of the rectangle if the perimeter is 188m?
let x width
3x+6 its length
6x+2x+12=188
or
8x=176
or
x=22m width
length 22*3+6=72m
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To find the measurements of the rectangle, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
Let's start by assigning variables to the length and width. Let's say the width is represented by 'w'. According to the given information, the length is 6m longer than 3 times the width, which can be represented as: length = 3w + 6.
Now, we can substitute these values into the formula for the perimeter:
188 = 2(3w + 6 + w)
Simplifying the equation:
188 = 2(4w + 6)
188 = 8w + 12
Subtracting 12 from both sides:
176 = 8w
Dividing both sides by 8:
w = 22
So, the width of the rectangle is 22m.
Now, we can use this value to find the length:
length = 3w + 6
length = 3(22) + 6
length = 66 + 6
length = 72
Therefore, the measurements of the rectangle are: width = 22m and length = 72m.