Question

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?

Answer 1

Δ perimeter of swimming area:

• total length measure of all sides

• 200√3 + 200√6 + 400 + 200

• ( 200√3 + 200√6 + 600 ) m

• 1436.3 m

Δ area of roped off section:

• 1/2 base * height

• 1/2 * (200+200√3)(200√3)

• 20000√3 + 60000 m²

• 94641 m²