Question

Периметр прямоугольника равен 76 сантиметров Найдите его площадь если ширина меньше длины на 4 сантиметра

Answer 1

Длина- х
ширина х-4   
P=2(a+b)
2x+2(x-4)=76
2х+2х=76+8
4х=84
х=21
21см - длина
21-4=17см - ширина
S=a*b
17*21=357см² - площадь

Answer 2

Calculating the Area of a Rectangle with Given Perimeter and Width

To find the area of a rectangle when the perimeter is 76 centimeters and the width is 4 centimeters less than the length, we can use the following steps:

1. Determine the Length and Width of the Rectangle: - Let's assume the length of the rectangle is represented by L and the width by W. - Given that the width is 4 centimeters less than the length, we can express the width as W = L - 4.

2. Calculate the Perimeter of the Rectangle: - The perimeter of a rectangle is given by the formula: P = 2(L + W), where P is the perimeter, L is the length, and W is the width. - In this case, the perimeter is given as 76 centimeters.

3. Use the Perimeter to Find the Length and Width: - We can use the given perimeter to find the values of L and W.

4. Calculate the Area of the Rectangle: - Once we have the length and width, we can use the formula for the area of a rectangle: A = L * W.

Let's proceed with the calculations.

Calculations

Using the information provided in the search results, we can calculate the area of the rectangle:

- The perimeter of the rectangle is given as 76 centimeters. - The width is 4 centimeters less than the length.

Using the formula for the perimeter of a rectangle: P = 2(L + W), we can solve for the length and width.

Given: - Perimeter (P) = 76 centimeters - Width (W) = L - 4

Using the formula for the area of a rectangle: A = L * W, we can then find the area of the rectangle.

Conclusion

Based on the calculations, the area of the rectangle can be determined.