The length of a rectangle is twice its breath. Its perimeter is 60cm.Calculate the area of the rectangle.

Step 1: Let's denote the breadth of the rectangle as x. According to the problem, the length of the rectangle is twice its breadth, so we can denote the length as 2x.

Step 2: The perimeter of a rectangle is given by the formula 2*(length + breadth). We know from the problem that the perimeter is 60 cm. So, we can set up the equation 2*(2x + x) = 60.

Step 3: Simplify the equation. 2*3x = 60, which simplifies to 6x = 60.

Step 4: Solve for x. x = 60 / 6 = 10 cm. So, the breadth of the rectangle is 10 cm.

Step 5: Find the length by multiplying the breadth by 2. Length = 2*10 = 20 cm.

Step 6: Finally, calculate the area of the rectangle using the formula lengthbreadth. Area = 2010 = 200 square cm.

So, the area of the rectangle is 200 square cm.