CASEY HAS A BACKYARD THAT IS A 50-BY-50 FOOT SQUARE. SHE TURNED OVER AN IRREGULARLY-SHAPED PLOT OF SOIL TO PLAN A GARDEN. TO FIN
D THE AREA OF THE GARDEN, 1,500 RANDOM POINTS ARE GENERATED AND 420 OF THE POINTS LAND INSIDE THE IRREGULARLY-SHAPED GARDEN. WHAT IS THE AREA OF THE GARDEN?
It is given that casey has backyard that is a 50 by 50 foot square. Area of yard is the product of its dimensions. So, the area of yard is
Let the area of the garden be x.
It is given that 420 out of 1500 points land inside the irregularly shaped garden. It means the proportion of these points is equal to the proportion of area.
The value of x is 700. Therefore the area of the garden is 700 square feet.
Given the description of the irregular garden, the area will be given by: Area=(regular points)+1/2(irregular points) regular points=1500 irregular points=420 thus Area=1500+1/2(420) Area=1500+210 Area=1710 ft²
They can be different because Daryl is doing it online so he will not have to swing arcs on the computer screen he will just use circles. Hope that this helps!
