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When you ate buying a land, then the seller told you that it is in a quadrilateral shape. Then, we need to classify if it a rhombus, trapezoid, square, rectangle or a kite shape. If you do not ask this information, the buyer cannot plan on how will going to use the land he is about to purchase and he knows is that it is a quadrilateral which means it has four sides and four corners.

A real world problem that involves classifying a quadrilateral would be: Find that if a quadrilateral field which is a parallelogram with sides 10 yards, 12 yards, 11 yards, 20 yards is a rhombus or not. The answer is no.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

What is a rectangle?

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

What is a square?

That rectangle whose all sides are equal is called a square.

A square is always a rectangle, parallelogram, and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square).

What is a rhombus?

Its a parallelogram but all sides of same length.

For this case, lets construct a problem as:

Find that if a quadrilateral field which is a parallelogram with sides 10 yards, 12 yards, 11 yards, 20 yards is a rhombus or not.

Since a rhombus is a parallelogram with all sides of same length. But the given parallelogram has different sized sides, we deduce that its not a rhombus.

Thus, a real world problem that involves classifying a quadrilateral would be: Find that if a quadrilateral field which is a parallelogram with sides 10 yards, 12 yards, 11 yards, 20 yards is a rhombus or not. The answer is no.

Learn more about quadrilaterals here:

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