Question

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 1

30×30=900
900/112.5=8 cameras to cover

112.5×4=450
900-450=450 ft left uncovered

Answer 2

Answer: There are 8 cameras will be necessary to cover the entire store.

The area is left uncovered = $450\ feet^2$

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 =$30\times30=900\ feet^2$

The area which can be viewed by camera = $112.5\ ft^2$

The number of cameras  necessary to cover the entire store

$=\frac{\text{Area of store roof}}{\text{Area viewed by each camera}}=\frac{900}{112.5}=8$

If he places cameras only in the corners of the store, the area is covered

$=4\times112.5=450\ feet^2$

Then, The area remains uncovered=$900-450=450\ feet^2$