ElekK232268 ElekK232268
  • 25-10-2022
  • Mathematics
contestada

Find the altitude of rhombus whose area is 208 cm² and perimeter is 64 cm.

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AnnaliciaX69677 AnnaliciaX69677
  • 25-10-2022

Given the area of a rhombus is 208 cm square and the perimeter of rhombus is 64 cm.

Recall that all the sides of the rhombus are equal.

Hence,

[tex]\begin{gathered} \text{perimeter}=4\times sides \\ 64=4\times\text{side} \\ 16cm=\text{side} \end{gathered}[/tex]

Area of rhombus is :

[tex]\begin{gathered} area=base\times height \\ 208=16\times h \\ h=\frac{208}{16} \\ h=13\operatorname{cm} \end{gathered}[/tex]

Hence the altitude of the Rhombus is 13 cm.

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