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

Question

2 years ago

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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.

Mathematics

1 answer:

notsponge [240] · Answer 1 · 2023-08-11T11:04:58+03:00

Based on the information given, the area that will be left uncovered will be 450ft².

From the information given, the area of the store roof will be:

= 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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