# In a rectangle, one side is 2 cm longer than the other, and the meter is 28 cm, which is equal to the area of this rectangle.

May 31, 2021 | education

| 1. Let’s denote the width of the rectangle through x cm.

2. Find out what the length of the rectangle is equal to

(x + 2) cm.

3. Let’s compose and solve the equation

(x + (x + 2)) * 2 = 28;

(x + x + 2) * 2 = 28;

(2x + 2) * 2 = 28;

2x + 2 = 28/2;

2x + 2 = 14;

2x = 14 – 2;

2x = 12;

x = 12/2;

x = 6.

4. The width of the rectangle is x = 6 cm.

5. What is the length of the rectangle?

x + 2 = 6 + 2 = 8 cm.

6. What is the area of this rectangle?

6 * 8 = 48 cm ^ 2.

Answer: the area of the rectangle is 48 cm ^ 2.

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