Savagehailey
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A triangular swimming area is marked off by a rope.

a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?

A triangular swimming area is marked off by a rope a If a woman swims around the perimeter of the swimming area how far will she swim b What is the area of the class=

Respuesta :

#a

Perimeter=Sum of sides

  • 400+200√6+200+200√3
  • 600+200(√6+√3)
  • 600+200(2.6+1.7)
  • 600+200(4.3)
  • 600+860
  • 1460m

#b

Area:-

  • 1/2×Base×Height
  • 1/2(200+200√3)(200√3)
  • (200+200(1.7))100√3
  • (200+340)(170)
  • 540(170)
  • 91800m²
semsee45

Answer:

Perimeter = 1436.3 m (nearest tenth)

Area = 94641.0 m² (nearest tenth)

Step-by-step explanation:

The perimeter is the sum of the lengths of all the sides.

[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]

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