1. Let the smaller side of the rectangle be equal to y, then the large side is equal to 2 + y. By doubling the sum of its sides, we get the perimeter of the rectangle. Let’s solve the composed equation:
2 * (y + 2 + y) = 28,
4y + 4 = 28,
4y = 28 – 4,
4y = 24,
y = 24/4,
y = 6 cm.
2. Find the large side of the rectangle:
2 + 6 = 8 cm.
3. Find the product of the larger and smaller sides of the rectangle, get its area:
Area = 8 cm * 6 cm = 48 cm2.
Answer: the area of the rectangle is 48 cm2.
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