Question

Из куска ткани прямоугольной формы длиной 10 дм и шириной 15 дм Ира собирается вырезать салфетки квадратной формы.Каких салфеток получится больше,со стороной 4дм или со стороной 5 дм

Answer 1

10*15=150дм весь кусок
4*4=16дм салфетки со стороной 4дм
5*5=25дм салфетки со стороной 5дм
150:16=9.375сал. сторона 4дм
150:25=6салф сторона 5дм
ответ больше со стороной 4дм

Answer 2

Сторона 10= 2 стороны по 4 (останется еще 2 дм, а 2<4)или 2 стороны по 5
Сторона 15=3 стороны по 4 (останется еще 3 дм,а 3<4)или 3 стороны по 5
Вывод: и со стороной 4 и со стороной 5 из данного куска можно вырезать одинаковое количество квадратных салфеток.

Answer 3

Calculation of the Number of Napkins

To determine the number of napkins that can be cut from a rectangular piece of fabric, we need to calculate the area of the fabric and the area of each napkin.

The given rectangular piece of fabric has a length of 10 dm (decimeters) and a width of 15 dm. To find the area of the fabric, we multiply the length by the width:

Area of the fabric = length × width = 10 dm × 15 dm = 150 dm².

Now, let's calculate the area of each napkin.

1. Napkins with a side length of 4 dm: - The area of a square napkin with a side length of 4 dm is calculated by squaring the side length: Area of each napkin = side length × side length = 4 dm × 4 dm = 16 dm².

2. Napkins with a side length of 5 dm: - The area of a square napkin with a side length of 5 dm is calculated by squaring the side length: Area of each napkin = side length × side length = 5 dm × 5 dm = 25 dm².

Comparison of the Number of Napkins

To determine which size of napkin will result in a greater number, we need to compare the areas of the fabric and the areas of each napkin.

1. Napkins with a side length of 4 dm: - To calculate the number of napkins that can be cut from the fabric, we divide the area of the fabric by the area of each napkin: Number of napkins = Area of the fabric / Area of each napkin = 150 dm² / 16 dm² ≈ 9.375 napkins.

2. Napkins with a side length of 5 dm: - To calculate the number of napkins that can be cut from the fabric, we divide the area of the fabric by the area of each napkin: Number of napkins = Area of the fabric / Area of each napkin = 150 dm² / 25 dm² = 6 napkins.

Conclusion

Based on the calculations, you will be able to obtain more napkins with a side length of 4 dm. You can cut approximately 9.375 napkins with a side length of 4 dm from the given rectangular piece of fabric, while you can only cut 6 napkins with a side length of 5 dm.

Please note that the number of napkins may not be a whole number due to the dimensions of the fabric and the napkins.