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

March 31, 2021 | education

| **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 its area.**

1. We take for x the width of the rectangle, its length (x + 15) centimeters.

2. Let’s compose the equation:

2x + 2 (x + 15) = 70;

2x + 2x + 30 = 70;

4x = 40;

x = 10 centimeters.

3. The length of the rectangle is 10 + 15 = 25 centimeters.

4. Calculate the area of the rectangle:

10 x 25 = 250 cm ^ 2.

Answer: the length of the rectangle is 25 centimeters, the width is 10 centimeters, the area is 250 cm ^ 2.

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