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### Grade 7 - Mathematics9.32 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 cm25 cm19 cm16 cm Q 2: The area of a rhombus is 150 sq cm. One of its diagonals is 12 cm. Find the length of the other diagonal.23 cm20 cm15 cm25 cm Q 3: The area of a rhombus is 169x2 sq units. One of its diagonals is 13x units. Find the length of the other diagonal.22x units23x units26x units26x units Q 4: The area of a rhombus is 768 sq cm. One of its diagonals is 6 times the other. Find the lengths of the diagonals.16 cm and 96 cm respectively11 cm and 66 cm respectively9 cm and 54 cm respectively10 cm and 60 cm respectively Q 5: The area of a rhombus is 90 sq cm. One of its diagonals is 10 cm. Find the length of the other diagonal.16 cm18 cm15 cm19 cm 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 respectively11 cm and 22 cm respectively13cm and 26 cm respectively Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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