Question

marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet. each camera can view an area of approximately 128 ft², with a viewing area shaped like a right triangle. the distance between grid lines is 4 feet. how many cameras will be necessary to cover the entire store? 6 9 12 18

Explanation:

Step1: Calculate store area

The store is a square with side - length $s = 48$ feet. The area of a square is $A_{store}=s^{2}$. So, $A_{store}=48\times48 = 2304$ square feet.

Step2: Calculate number of cameras

Let $n$ be the number of cameras. We know that the area covered by each camera is $A_{camera}=128$ square feet. Then $n=\frac{A_{store}}{A_{camera}}$. Substituting the values, we get $n=\frac{2304}{128}=18$.

Answer:

18