Question

Даны два серых квадрата один со стороной 2 см а другой со сторонами 3 см и два одинаковых белых прямоугольников со сторонами 3 см и 2 см . Условие: Найти сторону квадрата , площадь которого равна сумме площадей всех этих фигур . Пожалуйста помогите решить

Answer 1

Sквадрата=a^2
Sпрямоугольника=ab

S1=2^2=4см^2
S2=3^2=9см^2
S3=3*2=6см^2

Сумма площадей всех фигур: 4+9+6+6=25 - площадь искомого квадрата.
Sкв=а^2
25=а^2
a=√25
а=5см

Ответ: 5см

Answer 2

(2•2)+(3•3)+(3•2)•2=25см.кв.; 5•5=25;сторона квадрата 5см.кв

Answer 3

Problem Analysis

We are given two gray squares, one with a side length of 2 cm and the other with a side length of 3 cm. We also have two identical white rectangles, each with sides measuring 3 cm and 2 cm. We need to find the side length of a square whose area is equal to the sum of the areas of all these figures.

Solution

To find the side length of the square, we need to calculate the total area of the given figures and then find the square root of that area.

Let's calculate the total area step by step:

1. Area of the first gray square: 2 cm x 2 cm = 4 cm². 2. Area of the second gray square: 3 cm x 3 cm = 9 cm². 3. Area of the first white rectangle: 3 cm x 2 cm = 6 cm². 4. Area of the second white rectangle: 3 cm x 2 cm = 6 cm².

Now, let's calculate the total area by summing up the areas of all the figures:

Total area = Area of the first gray square + Area of the second gray square + Area of the first white rectangle + Area of the second white rectangle

Total area = 4 cm² + 9 cm² + 6 cm² + 6 cm²

Total area = 25 cm²

To find the side length of the square, we need to find the square root of the total area:

Side length of the square = √(Total area)

Side length of the square = √(25 cm²)

Side length of the square = 5 cm

Therefore, the side length of the square whose area is equal to the sum of the areas of all the given figures is 5 cm.

Answer

The side length of the square whose area is equal to the sum of the areas of the given figures is 5 cm.