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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