The sides of the rectangle are 3: 4. Find the sides of the rectangle if its area is 48cm2.
July 22, 2021 | education
| 1. Let’s designate one side of the rectangle “3X”, then the other “4X”. The area of the rectangle S = a * b, where a, b are the sides. Let’s compose and solve the equation:
3X * 4X = 48;
12X ^ 2 = 48;
X ^ 2 = 48/12;
X ^ 2 = 4;
X1 = -2 – does not satisfy;
X2 = 2.
2. Find the sides:
3 * 2 = 6 (cm);
4 * 2 = 8 (cm).
Answer: the sides of the rectangle are 6 cm and 8 cm.
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