Question

the area of trapezium shaped field is 480 m the height is 15m and one of the parellel side is 20m. find the parellel side.

Answer 1

therefore the parallel sides are 20m and 44m

Answer 2

Given :-

• Shape = Trapezium
• Area of Trapezium = 480m²
• Height of Trapezium = 15m
• One of the Parallel Side = 20m

To Find :-

• Second Parallel Side

Solution :-

➞ Area = ½ × Height × Sum of parallel sides

➞ 480 = ½ × 15 × ( 20 + Side )

➞ 480 × 2 = 15 × ( 20 + Side )

➞ 960 = 15 × ( 20 + Side )

➞ 960 / 15 = 20 + Side

➞ 64 = 20 + Side

➞ 64 - 20 = Side

➞ 44m = Side

________________

Therefore, Second Parallel Side of the Trapezium = 44m

________________

★ Additional Info :

Formulas Related to Area :

• Area of Square = Side x Side
• Area of Rectangle = Length × Breadth
• Area of Triangle = ½ × base x height
• Area of parallelogram = base x height
• Area of circle = πr²
• Area of Rhombus = ½ × product of its diagonals
• Area of Trapezium = ½ × height × sum of parallel sides
• Area of Polygon = sum of the area of all regions into which it is divided

________________