Find the area of a rectangle if it is known that one of the sides is five times larger than

Find the area of a rectangle if it is known that one of the sides is five times larger than the other and the perimeter of the rectangle is 60 cm.

1. Take one side of the rectangle, width, x cm, then the second side, length, is 5 x cm.

2. The perimeter of the rectangle is equal to the sum of the length and width and multiplied by 2. The perimeter is known to us and is equal to 60 cm.

3. Let’s compose and solve the equation: (x + 5 x) * 2 = 60;

6 x * 2 = 60;

12 x = 60;

x = 60:12;

x = 5 cm.

The width is 5 cm.

Find the length 5 * x, substitute the value x = 5.5 * 5 = 25 cm.

4. The area of the rectangle is: width times length.

5 * 25 = 125 cm2.

Answer: the area of the rectangle is 125 cm2.