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(ii) length of the diagonal up to 2 decimal places.
7. Find the aren of a rhombus ABCD in which cach side measures 30 cm and one of its dingonal is
48 cm .
8. An iron sheet is rhombus in shape. The measure of its side is 15 cm and one of its diagonal in

Ask by Vaughn Henry. in India
Jan 01,2025

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Answer

  • Problem 7: The area of rhombus ABCD is 864 cm².
  • Problem 8: Cannot determine the area without the length of the second diagonal.

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Beyond the Answer

To find the area of a rhombus, you can use the formula: , where and are the lengths of the diagonals. Given that one diagonal and each side , you can find the second diagonal using the relationship . Plugging in the numbers reveals cm, so the area becomes .
For the iron sheet problem, if one diagonal is given and the side length is 15 cm, we can use a similar approach. Set as the known diagonal and find the same way as before. Unraveling the math will lead you to figure out the actual dimensions and thus the area! Who knew rhombuses could have such exciting measurements?

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