Q: Divide a rectangle into 7 parts with only 3 lines?

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The square has four lines of symmetry. The rectangle has only two, as it can be folded in half horizontally or vertically: students should be encouraged to try to fold the rectangle in half diagonally to see why this does not work.

Easiest wayDraw a three inch by three inch square. add lines at one inch marks to form a small grid. draw line diagonally across to form two triangles. count the number of squares in one triangle (remember the squares with the diagonal line are only half a square)Did you get 4 1/2?A X B divided by two 3 X 3= 9 / 2 = 4.5To arrive to the forumla for area of triangle, lets look at the area of square and rectanlge first: Area of square: side x side Area of rectangle: length x width Notice that the formulas for area of square and rectangle is very similar. The squre is a special case only, so there is not much difference. Let's take the special case first- area of square: Area= side x side If I want to find the area of a triangle from this square, you have to divide the square in half diagonally. This means: (side x side)/2 = area of triangle Let's take a look at retangle now: Area of rectangle: length x width Similarly like the square, you divide the rectangle diagonally by half. This means: (length x width)/2 Conclusion: Thus, area of triangle= (base x height)/2 The base can be considered as one of the sides of the rectangle/square, and the height can be considered as the other side of the rectangle/square. THE FORMULA OF TRIANGLE COMES FROM HALF THE AREA OF RECTANGLE/SQUARE! Visit quickanswerz.com for more math help and tutoring!Area is measured in square units. If we are given a region we divide the region into unit squares.Then we count the number squares, which is the area of the region.Consider a rectangle of length 10 units and width 5 units.The area of the rectangle is 50 square units.It is because we can divide the rectangle into 10 equal parts along the length.Similarly, we can divide the rectangle into 5 equal parts along the width. Now we have divided the entire rectangle into unit squares.If we count the number of squares we get 50 unit squares.We get this by multiplying the length and the width. Area = Length*Width square units.This is the same for a parallelogram too.Area of a parallelogram is base * height square unitsThis is how the concept of area has come.We can find the area of the triangle also.A rectangle or a parallelogram can be divided into two equal triangles by a diagonal.Half of the area of the rectangle(or parallelogram) gives the area of the triangle.In fact, we can extend any triangle into an parallelogram.So, we get the formula, area of a triangle = (base* height)/2 square units.Source: www.icoachmath.com

The Golden Rectangle is a geometrical figure whose side lengths are in the golden ratio. It can be made with only a compass and a straight edge.

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have have to divide them

Oh, what a happy little challenge! To divide a rectangle into 8 parts using only 3 lines, you can start by drawing two lines that intersect inside the rectangle to create four sections. Then, draw a third line that intersects the other two lines outside the rectangle, creating a total of eight parts. Just like that, you've created a beautiful composition with just a few simple strokes.

To divide a rectangle into 7 parts using 3 lines: Use 2 lines to draw two diagonals. Use the third line to draw a parallel line to any of the sides but not passing through the centre

There are only two lines of symmetry. Divide either of the two opposite sides of the rectangle in half and join these two points.

Yes you can, but you have to use zig zag lines. Using straight lines there are only four ways to divide a square into two equal parts (along the lines of symmetry).

Draw two diameter lines, then draw a circle inside the circle.

A rectangle has 2 pairs parallel lines and a trapezoid can only have 1 pair of parallel lines.

A quadrilateral with 4 right angles can only be a rectangle or a square. A rectangle has only two lines of symmetry - the lines joining the midpoints of its opposite sides. So the answer cannot be a rectangle. A square has the same lines of symmetry as a rectangle, plus the two diagonals - 4 lines in all.

They both have the same amount of lines of symmetry. * * * * * Not true. A square has four lines of symmetry, a rectangle only two.

A square has 4 lines of symmetry whereas a rectangle has only 2 lines of symmetry.

a rectangle is a shape that has two sets of parallel lines a trapezoid only has to have one set of parallel lines

No it has only 2