The perimeter of the rectangle is 70 cm, and its length is 15 cm longer than the width.

The perimeter of the rectangle is 70 cm, and its length is 15 cm longer than the width. Find the length and width of the rectangle. Calculate the area of the rectangle.

Let’s solve this problem using the equation.
Let the width of the rectangle be x centimeters, then its length is (x + 15) centimeters. We know that the perimeter of the rectangle is 70 centimeters. Let’s make the equation:
2 * (x + x + 15) = 70;
x + x + 15 = 70: 2;
x + x + 15 = 35;
x + x = 35 – 15;
x + x = 20;
x * (1 + 1) = 20;
x * 2 = 20;
x = 20: 2;
x = 10 centimeters – the width of the rectangle;
10 + 15 = 25 centimeters – the length of the rectangle;
10 * 25 = 250 square centimeters – the area of a rectangle.
Answer: 250 square centimeters.