The width of the rectangle is 20% of its perimeter and the length is 1.5 cm. Find the area of the rectangle.

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

2. Determine the width of the rectangle:

20% = 20: 100 = 0.2

0.2 * x = 0.2x cm.

3. Let’s compose and solve the equation:

(1.5 + 0.2x) * 2 = x;

3 + 0.4x = x;

3 = x – 0.4x;

3 = 0.6X;

x = 3: 0.6;

x = 5.

4. The perimeter of the rectangle is x = 5 cm.

5. What is the width of the rectangle?

0.2 * x = 0.2 * 5 = 1 (cm).

6. What is the area of the rectangle?

1.5 * 1 = 1.5 (cm2)

Answer: the area of the rectangle is 1.5 cm2.