Question

В прямоугольнике ширина на 6 см меньше длины,а длина в 1,4 раза больше ширины.Какова длина прямоугольника?Составьте систему уравнений и решите способом сложения!

Answer 1

Длина Х, ширина Х-6  
Х=1,4(Х-6) 
Х=1,4Х-8,4 
0,4Х=8,4 
Х=21 
длина 21см ,ширина 15см

Answer 2

Problem Analysis

We are given that the width of a rectangle is 6 cm less than its length, and the length is 1.4 times greater than the width. We need to find the length of the rectangle.

Formulating the Equations

Let's assume the width of the rectangle is w cm. According to the given information, the length of the rectangle is 1.4 times the width, so the length can be represented as 1.4w cm.

We are also given that the width is 6 cm less than the length, so we can write the following equation:

w = 1.4w - 6

Solving the Equations

To solve the equation, we can subtract 1.4w from both sides:

w - 1.4w = -6

Simplifying the equation, we get:

-0.4w = -6

Dividing both sides by -0.4, we find:

w = 15

Therefore, the width of the rectangle is 15 cm.

To find the length, we substitute the value of w into the equation for the length:

length = 1.4w = 1.4 * 15 = 21

Therefore, the length of the rectangle is 21 cm.

Answer

The length of the rectangle is 21 cm.

Please let me know if I can help you with anything else.