the area of square is 4 times the area of rectangle .the length of the rectangle is 25cm and its breadth is cm less than one fifth of its length.what is the perimeter of square.
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Missing data, "breadth is ___ cm."
To find the perimeter of the square, we need to determine its side length first.
Let's start by finding the area of the rectangle. We know that the length of the rectangle is 25 cm, and its breadth is "cm less than one fifth of its length." Let's denote the breadth as x.
According to the information given, the area of the square is 4 times the area of the rectangle.
The area of the square is given by side length squared, and the area of the rectangle is given by length multiplied by breadth.
Let's calculate the area of the rectangle:
Area of rectangle = length * breadth
= 25 cm * x
Now, we know that the area of the square is four times the area of the rectangle. So we can write:
Area of square = 4 * Area of rectangle
= 4 * (25 cm * x)
Since the area of a square is side length squared, we can set up an equation:
(side length of square)^2 = 4 * (25 cm * x)
Now, we can solve for the side length of the square. Taking the square root of both sides of the equation gives:
side length of square = √(4 * (25 cm * x))
= 2 * √(25 cm * x)
= 2 * 5 cm * √x
= 10 cm * √x
Now that we know the side length of the square, we can find its perimeter. The perimeter of a square is given by 4 multiplied by its side length:
Perimeter of square = 4 * (side length of square)
= 4 * (10 cm * √x)
= 40 cm * √x
Therefore, the perimeter of the square is 40 cm times the square root of x. However, since the value of x is not given in the given information, we cannot determine the exact perimeter of the square without the value of x.