Question

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

Answer 1

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

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Therefore, Second Parallel Side of the Trapezium = 44m

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★ 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

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Answer 2

Step-by-step explanation:

area of trapezium = 1/2 *h* ( a + b ) parallel sides

1/2 * 15 *( 20 + b ) = 480

1/2 * 300 + 15b = 480

300 + 15b = 480*2

15b = 960 - 300

15b = 660

b = 660/15

b = 44 metre