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Geometry4.8 Area of Rhombus - II

 Example: The area of a rhombus is 150 sq cm. One of its diagonals is 15 cm. Find the length of the other diagonal. Solution: The area of a rhombus (A) = 1/2 * d1 * d2. Given that, A = 150 sq cm. and d1 = 15 cm. Hence d2 = 2A/d1 = (2*150)/15 = 20 cm. Therefore, the length of other diagonal = 20 cm. Directions: Read the above example carefully and answer the following questions. Also write at least 10 examples of your own.
 Q 1: The area of a rhombus is (500/2) sq cm. One of its diagonals is (320/16) cm. Find the length of the other diagonal.15 cm16 cm25 cm19 cm Q 2: The area of a rhombus is 169x2 sq units. One of its diagonals is 13x units. Find the length of the other diagonal.26x units26x units23x units22x units Q 3: The area of a rhombus is 350.5 sq cm. One of its diagonals is 25.5 cm. Find the length of the other diagonal.26.46 cm19.23 cm27.49 cm18.25 cm Q 4: The area of a rhombus is 27 sq cm. One of its diagonals is two more than the other. Find the lengths of the diagonals.6 cm and 8 cm respectively2 cm and 5 cm respectively9 cm and 11 cm respectively10 cm and 12 cm respectively Q 5: The area of a rhombus is 768 sq cm. One of its diagonals is 6 times the other. Find the lengths of the diagonals.9 cm and 54 cm respectively16 cm and 96 cm respectively11 cm and 66 cm respectively10 cm and 60 cm respectively Q 6: The area of a rhombus is 196 sq cm. One of its diagonals is two times the other. Find the lengths of the diagonals.12 cm and 24 cm respectively14 cm and 28 cm respectively13cm and 26 cm respectively11 cm and 22 cm respectively Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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