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# This rectangular prism is intersected by a plane that contains points B, D, H, and F.

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This rectangular prism is intersected by a plane that contains points B, D, H, and F.

What is the perimeter of the cross section?

Round to the nearest tenth.

Guest May 7, 2017

#1
+4164
+4

perimeter = BD + DH + HF + FB

BD = HF      and     DH = FB

so...

perimeter = HF + FB  + HF + FB

perimeter = 2HF + 2FB

72 + 82 = HF2   →   HF = $$\sqrt{113}$$     cm

FB = 6     cm

perimeter = 2$$\sqrt{113}$$ + 2(6)

perimeter = 2$$\sqrt{113}$$ + 12

perimeter ≈ 33.3     cm

hectictar  May 7, 2017
Sort:

#1
+4164
+4

perimeter = BD + DH + HF + FB

BD = HF      and     DH = FB

so...

perimeter = HF + FB  + HF + FB

perimeter = 2HF + 2FB

72 + 82 = HF2   →   HF = $$\sqrt{113}$$     cm

FB = 6     cm

perimeter = 2$$\sqrt{113}$$ + 2(6)

perimeter = 2$$\sqrt{113}$$ + 12

perimeter ≈ 33.3     cm

hectictar  May 7, 2017

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