MESURATION FORMULAES FOR SQUARE, TRAPEZIUM, RHOMBUS

SQUARE

1. PERIMETER = 4 * side = 4 * a 

WHERE a = SIDE OF SQUARE

2. AREA = (side)^2

3. DIAGONAL = side * sqrt(2)

4. AREA OF THE PATH WHICH IS OUTSIDE OF SQUARE = 4 * (a + x)

5. AREA OF THE PATH WHICH IS INSIDE OF SQUARE = 4 * (a - x)

WHERE x = WIDTH OF THE PATH


TRAPEZIUM

IT IS A QUADRILATERAL WHOSE OPPOSITE SIDES ARE PARALLEL.
OTHER TWO OPPOSITE SIDES ARE OBLIQUE.

1. AREA = 1/2 * HEIGHT * (SUM OF PARALLEL SIDES)
 
HEIGHT IS THE DISTANCE BETWEEN THE TWO PARALLEL SIDES

2. MEDIAN = 1/2 * (SUM OF PARALLEL SIDES)

MEDIAN IS THE SEGMENT JOINING THE MIDPOINTS OF OBLIQUE SIDES


RHOMBUS

IT IS PARALLELOGRAM WHOSE ALL SIDES ARE EQUAL. 
ITS DIAGONALS BISECT EACH OTHER AT RIGHT ANGLE.

1. AREA = 1/2 * PRODUCT OF DIAGONALS

2. SIDE = sqrt {(D1/2)^2 + (D2/2)^2}

3. PERIMETER = 4 * SIDE

WHERE D1 AND D2 ARE DIAGONALS

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