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 feet
That 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]
Based on the information given, the area that will be left uncovered will be 450ft².
= 30 × 30 = 900ft²
The area viewed by the camera = 112.5ft²
Therefore, the number of cameras needed will be:
= 900/112.5 = 8
When he places the cameras in the corners of the store, he area covered will be:
= 4 × 112.5 = 450ft²
Therefore, the area left uncovered will be:
= 900 - 450
= 450 ft²
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