# 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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