Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle. How many cameras will be necessary to cover the entire store? . If he places cameras only in the corners of the store, how much area is left uncovered? ft2.

Answer: There are 8 cameras will be necessary to cover the entire store.The area is left uncovered = [tex]450\ feet^2[/tex]Step-by-step explanation:Given: The dimensions of store = 30 feet by 30 feetThat means store roof is in square shape, which has all its sides equal.The area of the store roof =[tex]30\times30=900\ feet^2[/tex]The area which can be viewed by camera = [tex]112.5\ ft^2[/tex]The number of cameras  necessary to cover the entire store[tex]=\frac{\text{Area of store roof}}{\text{Area viewed by each camera}}=\frac{900}{112.5}=8[/tex]If he places cameras only in the corners of the store, the area is covered[tex]=4\times112.5=450\ feet^2[/tex]Then, The area remains uncovered=[tex]900-450=450\ feet^2[/tex]