Question

Периметр прямоугольника 30 м. может ли этот прямоугольник быть квадратом?

Answer 1

P КВАДРАТА= 4А
P ПРЯМОУГОЛЬНИКА=2А+2B

Answer 2

Can a rectangle with a perimeter of 30 m be a square?

To determine if a rectangle with a perimeter of 30 m can be a square, we need to consider the relationship between the perimeter and the sides of a rectangle.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. For a rectangle with side lengths a and b, the perimeter is given by the formula: P = 2(a + b).

If we have a rectangle with a perimeter of 30 m, we can set up the equation 30 = 2(a + b).

To determine if this rectangle can be a square, we need to find the possible values of a and b that satisfy this equation.

Let's solve the equation to find the possible side lengths of the rectangle:

1) Start with the equation 30 = 2(a + b). 2) Divide both sides of the equation by 2: 15 = a + b. 3) Rearrange the equation to solve for b: b = 15 - a.

Now, we can substitute different values for a and calculate the corresponding values of b:

- If a = 1, then b = 15 - 1 = 14. - If a = 2, then b = 15 - 2 = 13. - If a = 3, then b = 15 - 3 = 12. - If a = 4, then b = 15 - 4 = 11. - If a = 5, then b = 15 - 5 = 10. - If a = 6, then b = 15 - 6 = 9. - If a = 7, then b = 15 - 7 = 8.

From these calculations, we can see that there are multiple combinations of side lengths that satisfy the equation 30 = 2(a + b). Therefore, a rectangle with a perimeter of 30 m can have different dimensions and can be a square if the side lengths are equal.

In conclusion, a rectangle with a perimeter of 30 m can be a square if the side lengths are equal.