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### Geometry4.12 Area of a Trapezoid - II

 Example: The lengths of the parallel sides of a trapezoid are 9 cm and 7cm. Its area is 18 sq cm. Find the distance between the parallel lines. Solution: The area of a trapezoid is (A ) =1/2 * (a+b) * h. Given that, a = 9 cm, b = 7 cm and A = 18 sq cm. h = 2A/(a+b) h = (2*18)/(9+7) h = 36/16 h = 2.25 cm. \ The distance between the parallel lines = 2.25 cm. Directions: Read the above example carefully and answer the following questions. Also write at least 10 examples of your own.
 Q 1: One of the lengths of the parallel side of a trapezoid is 17 cm. Its area is 120 sq cm and the distance between the parallel lines is given by 7.5 cm. Find the length of the other parallel side. 8.5 cm10 cm15 cm9 cm Q 2: The lengths of the parallel sides of a trapezoid are 9 cm and 7 cm. Its area is 20 sq cm. Find the distance between the parallel lines.25 cm2.5 cm4.5 cm3.5 cm Q 3: The lengths of the parallel sides of a trapezoid are 18cm and 16cm. The distance between the parallel lines is given by 6 cm. Find its area.125 sq cm102 sq cm200 sq cm185 sq cm Q 4: One of the lengths of the parallel side of a trapezoid is 16 cm. Its area is 66 sq cm and the distance between the parallel lines is given by 4 cm. Find the length of the other parallel side. 16 cm18.5 cm17 cm14.5 cm Q 5: The lengths of the parallel sides of a trapezoid are 12x cm and 14x cm. Its area is 130x2 sq cm. Find the distance between the parallel lines.5.5x cm10x cm6x cm4.5x cm Q 6: The lengths of the parallel sides of a trapezoid are 17 cm and 15 cm. Its area is 192 sq cm. Find the distance between the parallel lines.18 cm12 cm25 cm15 cm Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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