Cut the rectangle in two cuts into 3 rectangles

Getting 3 rectangles

Let’s start by getting 3 rectangles.

Step 1

Step 2

Then fold the sheet in half again.

Step 3

Make one cut along the applied mowing line.

Step 5

Expand the sheets and get 3 rectangles.

Got 3 rectangles

There are doubts?

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Mathematics is the science of structures, order and relationships, historically developed on the basis of the operations of counting, measuring and describing the shape of objects.

On a sheet of paper folded 2 times, make one straight cut to get:

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Getting 4 triangles and 1 octagon

Let’s look at the steps how to get 4 triangles and 1 octagon.

Step 1

Step 2

Step 3

Apply the cut line to the resulting square.

Make one cut along the applied mowing line of the cut.

Expand the sheets and get 1 octagon and 4 triangles.

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4 triangles and 1 octagon

Cut the rectangle in two cuts into two triangles

Rectangle ABCD was cut into 2 triangles and a quadrilateral. These parts are shown on the right. Swipe in rectangle ABCD of the cut line cut.

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Let’s make the task easier to understand

First of all, you need to understand that we are talking about nothing else than a geometric figure. A rectangular cake is nothing like a rectangle! To solve the problem, you need to get the following shapes:

  • quadrangle;
  • quadrangle;
  • triangle;
  • triangle;

A quadrilateral is a figure with 4 vertices, it can be a square, a rectangle (as subspecies of a quadrilateral), or a trapezoid or an arbitrary shape with the required number of corners.

rectangle, cuts, rectangles

Triangles can also be different, acute-angled, obtuse-angled, rectangular and others. Since in the problem statement we are talking about a rectangle, it is worth thinking about the cut option in such a way as to get a right-angled triangle.

Getting 1 hexagon and 2 triangles

Roll the sheet in half again.

Apply the cut line to the resulting square.

Let’s make one cut along the previously applied mowing line.

rectangle, cuts, rectangles

Expand parts of our sheet and get 1 hexagon and 2 triangles.

Cut correctly into pieces

How a given rectangle should be cut into two parts so that they can be folded: 1) a triangle, 2) a parallelogram (other than a rectangle), 3) a trapezoid?

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Cut the square into pieces, as shown in Figure 49, mix them and then fold: 1) the same square; 2) a right-angled isosceles triangle; 3) a rectangle other than a square; 4) a parallelogram other than a rectangle; 5) trapezoid.

A painted cube with an edge of 10 cm was sawn into cubes with a rhombus of 1 cm. How many cubes will be obtained: 1) with one painted edge; 2) with two; 3) with three; 4) have no painted edges at all?

How to cut a rectangle with sides 16 and 9 cm into two parts so that a square can be folded out of them? (The cut may be in the form of a broken mowing line.)

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Copy each of the shapes in Figure 50 and cut it into 4 equal pieces.

1) How to cut a given right-angled triangle into acute-angled triangles? 2) How to cut a given arbitrary triangle into acute-angled triangles?

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