The perimeter of the rectangle is 32 cm. The difference between the lengths of two adjacent sides is 2 cm.

| February 18, 2021 | education

The perimeter of the rectangle is 32 cm. The difference between the lengths of two adjacent sides is 2 cm. Find the sides of the rectangle.

Let’s solve this problem using the equation.
Let the length of one of the adjacent sides be x centimeters, then the length of the second side of the adjacent ones is x + 2 centimeters. We know that the perimeter of the rectangle is 32 centimeters. Let’s make the equation:
x + x + x + 2 + x + 2 = 32;
x + x + x + x + 4 = 32;
x + x + x + x = 32 – 4;
x + x + x + x = 28;
x * (1 + 1 + 1 + 1) = 28;
x * 4 = 28
x = 28: 4;
x = 7 centimeters – the length of the first side of the adjacent;
7 + 2 = 9 centimeters – the length of the second side of the adjacent.
Answer: 7 centimeters; 7 centimeters; 9 centimeters; 9 centimeters.



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