Question

Воздушный змей имеет квадратную форму половина воздушного змея выкрашена красной краской площадь закрашенной части 2450 квадратных сантиметров Какой длины планка понадобится периметру змея

Answer 1

2450 · 2 = 4900
√4900 = 70
70 · 4 = 280 см

Answer 2

Calculating the Length of the Plank Needed for the Perimeter of the Kite

To calculate the length of the plank needed for the perimeter of the kite, we can use the formula for the perimeter of a kite, which is P = 2a + 2b, where a and b are the lengths of the two unequal sides of the kite.

Given that half of the kite is painted red and the area of the painted part is 2450 square centimeters, we can find the length of the plank needed for the perimeter of the kite.

Calculations

Let's assume the length of the painted part of the kite is a and the width is b. Then, the area of the painted part can be expressed as:

Area of the painted part (A) = a * b = 2450 square centimeters

Since the kite is symmetrical, we can assume that the other half of the kite has the same dimensions as the painted half. Therefore, the total area of the kite can be expressed as:

Total area of the kite = 2 * A = 4900 square centimeters

Now, we can calculate the length of the plank needed for the perimeter of the kite using the given area.

Length of the Plank Needed

To find the lengths of the sides of the kite, we can use the formula for the area of a kite, which is A = (d1 * d2) / 2, where d1 and d2 are the diagonals of the kite.

Let's assume that d1 is the length of the painted part and d2 is the width of the kite. Then, we can express the area of the kite as:

Total area of the kite (A) = (d1 * d2) / 2 = 4900 square centimeters

By rearranging the formula, we can solve for d2:

d2 = (2 * A) / d1

Now that we have the width of the kite, we can calculate the length of the plank needed for the perimeter using the formula:

Perimeter of the kite (P) = 2 * (a + b)

We can use the width (d2) to find the length of the plank needed for the perimeter of the kite.

Conclusion

By using the given area of the painted part of the kite, we can calculate the length of the plank needed for the perimeter of the kite.