The length of the rectangular plot is 4 times its breath. If length is decreased by 18m and breadth is increased by 18m then it becomes a square.find the lenth smd breath of the rectangle
original dimensions are w and 4w
4w-18 = w+18
Now you can find w, and 4w.
To solve this problem, let's start by assigning variables to the length and breadth of the rectangle.
Let's assume the breadth of the rectangle is "x" meters. Therefore, the length of the rectangle would be 4 times the breadth, which means the length is 4x meters.
Now, we are told that if the length is decreased by 18 meters and the breadth is increased by 18 meters, the resulting shape becomes a square. So, the new length of the rectangle would be 4x - 18 meters, and the new breadth would be x + 18 meters.
Since the new shape is a square, the length and breadth should be equal. Therefore, we can set up the following equation:
4x - 18 = x + 18
To solve for x, we can simplify the equation:
4x - x = 18 + 18
3x = 36
x = 12
Now that we have found the value of x, we can substitute it back into our expressions for the length and breadth:
Length = 4x = 4 * 12 = 48 meters
Breadth = x = 12 meters
So, the length of the rectangle is 48 meters, and the breadth of the rectangle is 12 meters.