One side of the rectangle is 5 cm shorter than the other, and the sum of the sides is 11 cm.
August 31, 2021 | education
| One side of the rectangle is 5 cm shorter than the other, and the sum of the sides is 11 cm. Calculate the area of the rectangle.
1. Let’s denote the first side of the rectangle through x cm.
2. Let’s define the second side of the rectangle:
(x + 5) cm.
3. Let’s compose and solve the equation:
x + (x + 5) = 11;
x + x + 5 = 11;
2x + 5 = 11;
2x = 11 – 5;
2x = 6;
x = 6: 2;
x = 3.
4. The first side of the rectangle is x = 3 cm.
5. How long is the second side of the rectangle?
x + 5 = 3 + 5 = 8 cm.
6. What is the area of the rectangle?
3 * 8 = 24 cm ^ 2.
Answer: the area of the rectangle is 24 cm ^ 2.
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