The area of the rectangle is 96 cm2, find the sides of the rectangle if one of them is 1.5 times larger than the other.

The area of a rectangle is equal to the product of its sides. S = a * b.

Let us take the length of one side of the rectangle as x cm. If the length of the second side of the rectangle is 1.5 times the length of the first side, then it is equal to 1.5x cm. By the condition of the problem, it is known that the area of the rectangle is x * 1.5x cm² or 96 cm² … Let’s make an equation and solve it.

x * 1.5x = 96;

1.5x² = 96;

x² = 95: 1.5;

x² = 64;

x1 = 8 (cm) – the length of the first side;

х² = -8 (cm) – length cannot be negative.

1.5x = 8 * 1.5 = 12 (cm) – the length of the second side

Answer. 8 cm; 12 cm.