Tangram Quadrilateral

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Generally tangram is defined as a square which is divided in to seven parts. There must be a square and a parallelogram and five isosceles triangles, these combinations are called 'Tan'. And there will be two large isosceles right angle triangle and two small triangles and one medium triangle and the condition is these shapes will not be overlapped by themselves.Let we see one example for the tangram quadrilateral.

tangram

The diagram shows the general structure for tangram quadrilateral. here we have totally seven shapes in that there are two quadrilaterals, they are

1: Square

2: Parallelogram.
Description to Tangram Quadrilateral:

Solve Square Problems:

Example 1:

Find out the perimeter and area of the square where the length is 12cm in the tangram quadrilateral.

Solution:

tangram

Given, side s = 12 cm.

The four sides of the square is equal. Here we have the side length is 4

The perimeter of the square is calculated by 4a

4a = 4(12)

= 48 cm.

Area of the Square is= a2

a2 = (12)2

= 12 * 12

= 144 ...
... cm2

Answer: Perimeter is 48 cm.

Area is 144 cm2

Example 2:

The area of the square is 25ft2. The four sides of the square is increased to 6ft, calculate the area of the square after increasing the sides?

Solution:

Given Area = 25ft2

We know that area = a2

a2 = 25

By Taking Square root on both sides.

a=5

So one side of the length is 5ft.

Now the sides has increased by 6ft.

So now the sides will be 5ft+6ft =11ft.

Now we can calculate the area of the increased square.

Area of new square is = 112

= 11*11

= 121

= 121ft2

Answer: Area of new Square is 121ft2

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Example Problem for Tangram Quadrilateral:

Example 1:

Solve the Area and perimeter of the following parallelogram in the tangram quadrilateral.

Solution:

From the above diagram consider the parallelogram alone,we get

parellolgram

Solution:

Given AB = DC =10 ,BC=AD=5

We know that Perimeter of Parallelogram is sum of its sides.

Perimeter = 2(10+5)

= 2 ( 15)

= 30

Area = (15)(5)

= 75.

Example 2:

The perimeter of the parallelogram is 20cm and its one side is 4cm.Find the other side of the parallelogram.

Solution:

Perimeter = 20

2(a1+a2) =20

2(a1+4) =20

2a1+8 = 20

Subtract 8 on both sides

2a1=20-8

2a1=12

Divide by 2 on both sides, we get

a1=6

the length of the missing part is 6.

A quadrilateral is a two-dimensional figure created by connecting four segments endpoint to endpoint with each segment intersecting exactly two others. Parallelogram is the one quadrilateral, which has equal sides. The Parallelogram has further types

Rhombus

Square

Rectangle

Isosceles trapezoid

Here Rhombus and Square have four sides of equal sides. In addition, Rectangle has a pair of equal sides

Rhombus

It is a type of quadrilateral.

All the four sides of a rhombus are equal.

Opposite angles of a rhombus are equal.

The diagonal angles are equal.

The Rhombus has 2 lines of symmetry.

The sum of all the interior angles are equal to 360o

Square

Square has 4 equal sides

Square has 4 equal angles

In Square each angle is a right angle

The square has 4 lines of symmetry.

A square is a regular shape.

A square is of both rhombus and a rectangle, having four right angles and 4 congruent sides.

The sum of all the interior angles are equal to 360o

Rectangle

A rectangle has 2 pairs of equal sides

A rectangle has 4 equal angles

In a rectangle, each angle is a right angle

The rectangle has 2 lines of symmetry

Rectangle is in an irregular shape

A rectangle is a quadrilateral

The sum of all the interior angles are equal to 180o

Isosceles trapezoid

The Isosceles trapezoid is a type of quadrilateral.

If non-parallel pair of opposite sides of a trapezium is equal then it is called as isosceles trapezium.

The angles on the both sides of the base are equal

There will be one pair of parallel lines in a Isosceles trapezoid

There will be one pair of opposite sides which are equal

In a Isosceles trapezoid diagonals are equal

The sum of two adjacent angles are equal to 180o

The sum of all the interior angles are equal to 360o

Learn more on about Descriptive Statistics Definition and its Examples. Between, if you have problem on these topics algebra 2 help online free, Please share your comments.