Question

Периметр прямокутника і квадрата рівні. Сторогна квадрата дорівнює 7 см. Чому дорівнює ширина прямокутника, якщо його довжина виражається найбільшим одноцифровим числом сантиметрів?

Answer 1

Периметр:28
сторони квадрата: 7см 7см 7см 7см
сторони прямокутника: 9см 5см 9см 5см

Answer 2

Perimeter of a Rectangle and Square

The perimeter of a rectangle is equal to the sum of all its sides. Similarly, the perimeter of a square is also equal to the sum of all its sides.

Let's denote the width of the rectangle as 'w' and the length as 'l'. The formula for the perimeter of a rectangle is:

Perimeter of Rectangle = 2 * (Length + Width)

For a square, since all sides are equal, we can denote the length of each side as 's'. The formula for the perimeter of a square is:

Perimeter of Square = 4 * Side Length

Now, let's solve the given problem.

Given Information

We are given that the side length of the square is 7 cm. We need to find the width of the rectangle, given that its length is expressed as the largest single-digit number in centimeters.

Solution

Since the length of the rectangle is expressed as the largest single-digit number in centimeters, it means that the length is a single-digit number. The largest single-digit number is 9.

Let's denote the width of the rectangle as 'w'. Since the length is 9 cm, the perimeter of the rectangle is equal to the perimeter of the square.

Using the formulas mentioned earlier, we can set up the following equation:

2 * (Length + Width) = 4 * Side Length

Substituting the given values:

2 * (9 + w) = 4 * 7

Simplifying the equation:

18 + 2w = 28

2w = 28 - 18

2w = 10

w = 10 / 2

w = 5

Therefore, the width of the rectangle is 5 cm.

Conclusion

The width of the rectangle, given that its length is expressed as the largest single-digit number in centimeters, is 5 cm.