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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 169x2 sq units. One of its diagonals is 13x units. Find the length of the other diagonal.26x units26x units22x units23x units 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.9 cm and 11 cm respectively2 cm and 5 cm respectively10 cm and 12 cm respectively6 cm and 8 cm respectively Q 3: 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 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.11 cm and 66 cm respectively9 cm and 54 cm respectively10 cm and 60 cm respectively16 cm and 96 cm respectively Q 5: 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.27.49 cm19.23 cm18.25 cm26.46 cm Q 6: 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 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!