Question

Чему равна площадь прямоугольного участка, если его периметр 600 м, а ширина короче длины в 3 раза

Answer 1

Пусть х-ширина, 3х-длина
2(х+3х)=600
2х+6х=600
8х=600
х=75 м - ширина
3*75=225 м - длина
225*75=16875 площадь участка

Answer 2

3х длина,х ширина, периметр 600м; 1)(3х+х)*2=600; 8х=600; Х=600:8; Х=75 м ширина; 2)75*3=225 м длина; 3)225*75=16875 м^2 площадь прямоугольного участника

Answer 3

Calculating the Area of a Rectangle

To find the area of a rectangle when its perimeter is 600 m and the width is shorter than the length by a factor of 3, we can use the following steps:

1. Calculate the Length and Width: - Let's assume the length of the rectangle is represented by L and the width by W. - We know that the perimeter of a rectangle is given by the formula: \(2 \times (L + W) = 600\).

2. Expressing Width in Terms of Length: - Given that the width is shorter than the length by a factor of 3, we can express the width as \(W = \frac{L}{3}\).

3. Substitute and Solve for Length: - Substitute the expression for width into the perimeter formula and solve for the length.

4. Calculate the Area: - Once we have the length, we can calculate the area of the rectangle using the formula: \(A = L \times W\).

Let's proceed with these steps to find the area of the rectangle.

Calculation Steps

1. Calculate the Length and Width: - Using the perimeter formula: \(2 \times (L + W) = 600\), we can solve for the length and width.

2. Expressing Width in Terms of Length: - Given that the width is shorter than the length by a factor of 3, we can express the width as \(W = \frac{L}{3}\).

3. Substitute and Solve for Length: - Substitute the expression for width into the perimeter formula: \[2 \times \left(L + \frac{L}{3}\right) = 600\] - Simplify and solve for \(L\).

4. Calculate the Area: - Once we have the length, we can calculate the area of the rectangle using the formula: \(A = L \times W\).

Let's proceed with the calculations.