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Trapezoid Area Calculator

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Trapezoid area Calculator is used to calculate total space inside the trapezoid called the area of the trapezoid. A trapezoid is any quadrilateral figure that has one pair of parallel side, and has 2 bases and a height.

Area = ½ (a+b)h, where a and b are bases and h is height.

Example 1: Calculation of the area of a trapezoid where Bases are a= 7 cm and b = 3 cm, and height = 9 cm

For the given question

Area of trapezoid = ½ (base1 + base2) height = ½ (a + b ) h

= ½ x (7 cm + 3 cm) 9 cm [ replacing the values of a, b and h ]

= ½ (10 cm) 9 cm = 90 cm²

Area of trapezoid = 45 cm²

Example 2: Calculation of the area of a isosceles trapezoid where Bases are a= 12cm and b = 4cm, and side = 5cm

For the given question

Area of trapezoid = ½ ( a + b ) h

Since its isosceles trapezoid side1 = side2 = s

Use Pythagoras theorem to find side s ;

h²= s² - (a-b /2)²;

h = √25 - (12-4/ 2) = √21

= ½ x (12+4) √21

= ½ (16 cm) √21 cm = 8√21 cm²

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Trapezoid Area Calculator

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