the length of a rectangular plot of land is 4 times the width. of the perimeter is 600 feet, find the dimensions of the plot
P = 2L + 2W
600 = 2(4W) + 2W
600 = 10W
600/10 = W
60 = W
To find the dimensions of the rectangular plot, we need to set up equations based on the given information.
Let's assume that the width of the plot is represented by 'x'. According to the problem, the length of the plot is 4 times the width. Therefore, the length can be represented as 4x.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2(length + width)
Substituting the values we have:
600 = 2(4x + x)
Simplifying the equation:
600 = 2(5x)
600 = 10x
To isolate 'x' on one side of the equation, divide both sides by 10:
600/10 = 10x/10
60 = x
So, the width of the plot is 60 feet.
Now, let's find the length:
Length = 4 * Width
Length = 4 * 60
Length = 240 feet
Therefore, the dimensions of the rectangular plot are 60 feet by 240 feet.