The width of the rectangle is 20% of its perimeter and the length is 1.5 cm. Find the area of the rectangle.
March 26, 2021 | education
| 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.
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