One side of the rectangle is 3 m larger than the other, and its area is 10 m ^ What is the smaller side of the rectangle?

This problem can be easily solved by the equation method. Let the length of the smaller side be x m.Then the length greater than the side is x + 3 m.Since the area of the rectangle is equal to the product of the lengths of its sides, then:

x * (x + 3) = 10.

Let’s expand the brackets: x ^ 2 + 3 * x = 10.

x ^ 2 + 3 * x – 10 = 0.

D = 9 + 40 = 49.

x1 = (-3 + 7) / 2 = 4/2 = 2.

x2 = (-3 – 7) / 2 = -10/2 = -5.

Since the length of the side of the rectangle cannot take a negative value, therefore the problem has only one solution: 2 m.

Answer: 2 m.