Elizabeth is a landscape designer She created a small pond w

Elizabeth is a landscape designer. She created a small pond with a fountain that her company plans to manufacture and market. It is a free-form shape and the company wants to include the area of the pond on the packaging.

a. She takes a diagram of the pond and places it inside a 25-ft by 25-ft square. What is the area of the square? *

b. She then uses a graphing calculator to generate 5,000 random points inside the square. She finds that 3,200 of these points landed inside the pond outline. What percent of the points landed in the pond? Round to the nearest percent. *

c. What is the area of the pond, to the nearest square foot? *

Solution

a) Area of square = side*side

= 25*25

= 625 sqft

b) Total points inside the square = 5,000

Points inside the pond outline = 3200

So,percent of the points landed in the pond = (3200/5000)*100

= 64%