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### Grade 7 - Mathematics9.10 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: 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 cm6x cm4.5x cm10x cm Q 2: The lengths of the parallel sides of a trapezoid are a cm and b cm. Its area is (ac + bc)/2 sq cm. Find the distance between the parallel lines.a cmb cmac cmc cm Q 3: 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. 9 cm10 cm15 cm8.5 cm Q 4: 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.2.5 cm3.5 cm25 cm4.5 cm Q 5: 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 cm15 cm12 cm25 cm Q 6: 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 cm200 sq cm102 sq cm185 sq cm Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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