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 FIND 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?

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