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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 150 sq cm. One of its diagonals is 12 cm. Find the length of the other diagonal.15 cm23 cm20 cm25 cm Q 2: 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.10 cm and 12 cm respectively6 cm and 8 cm respectively9 cm and 11 cm respectively2 cm and 5 cm respectively Q 3: The area of a rhombus is 768 sq cm. One of its diagonals is 6 times the other. Find the lengths of the diagonals.11 cm and 66 cm respectively10 cm and 60 cm respectively16 cm and 96 cm respectively9 cm and 54 cm respectively Q 4: 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.16 cm15 cm19 cm25 cm Q 5: The area of a rhombus is 169x2 sq units. One of its diagonals is 13x units. Find the length of the other diagonal.22x units26x units26x units23x units 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.14 cm and 28 cm respectively13cm and 26 cm respectively12 cm and 24 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!