Question

Два прямоугольника имеют одинаковую площадь. Длина первого 16мм, второго - 12мм. Найди ширину первого прямоугольника, если периметр второго 32мм.запиши условие в таблице. Это поможет тебе решить задачю

Answer 1

         1                                                             2

длина16 мм                                      длина 12 мм

                                                             Р=32мм

 

Р=две длини умножить на две ширины

32-2*12=32-24=8 мм

8/2=4 мм - ширина второго прямоугольника

4*12=48 мм в квадрате - площадь второга, а соответсвенно и первого

48/16=3 мм - ширина первого

Answer 2

Длина- 12 мм Длина-16 мм Р=32мм 32-2*12•32-24=8мм 8/2=4 мм (ширина 2 прямоугольника) 4*12=48 мм2 площадь второго прямоугольника 48/16=3 мм (ширина первого прямоугольника)

Answer 3

Problem Analysis

We are given two rectangles with the same area. The length of the first rectangle is 16mm, and the length of the second rectangle is 12mm. We need to find the width of the first rectangle, given that the perimeter of the second rectangle is 32mm.

Solution

Let's denote the width of the first rectangle as w1 and the width of the second rectangle as w2.

We know that the area of a rectangle is given by the formula: Area = length * width.

Since the two rectangles have the same area, we can set up the following equation:

16mm * w1 = 12mm * w2 We are also given that the perimeter of the second rectangle is 32mm. The perimeter of a rectangle is given by the formula: Perimeter = 2 * (length + width).

For the second rectangle, we can write the equation:

32mm = 2 * (12mm + w2)

Simplifying this equation, we get:

16mm = 12mm + w2

Solving for w2, we find:

w2 = 4mm

Now, we can substitute the value of w2 into equation to find w1:

16mm * w1 = 12mm * 4mm

Simplifying this equation, we get:

w1 = 12mm * 4mm / 16mm

Calculating this, we find:

w1 = 3mm

Therefore, the width of the first rectangle is 3mm.

Summary

Given two rectangles with the same area, where the length of the first rectangle is 16mm and the length of the second rectangle is 12mm, we found that the width of the first rectangle is 3mm.