Question

Бассейн имеет форму прямоугольника,длина которого в 1,8 раза больше ширины .площадь бассейна 4500 м в кв .найдите его длину.ответ дайте в метрах.

Answer 1

Х- ширина  1,8х-длина
х*1,8х=4500
1,8х²=4500
х²=4500:1,8
х²=2500
х=50 метров ширина

50*1,8=90 метров - длина

Answer 2

Problem Analysis

We are given that the length of a rectangular pool is 1.8 times the width, and the area of the pool is 4500 square meters. We need to find the length of the pool in meters.

Solution

Let's assume the width of the pool is x meters. According to the given information, the length of the pool is 1.8 times the width, so the length is 1.8x meters.

The area of a rectangle is given by the formula: Area = Length × Width. In this case, the area is given as 4500 square meters. Substituting the values into the formula, we have:

4500 = (1.8x) × x

Simplifying the equation, we get:

4500 = 1.8x^2

To solve for x, we can divide both sides of the equation by 1.8:

x^2 = 2500

Taking the square root of both sides, we find:

x = √2500

Calculating the square root, we get:

x = 50

Therefore, the width of the pool is 50 meters. Since the length is 1.8 times the width, the length of the pool is:

Length = 1.8 × 50 = 90 meters

So, the length of the pool is 90 meters.

Answer

The length of the rectangular pool is 90 meters.