An office building contains 6,500 square feet of space. Each employee has a cubicle that takes up 100 square feet. The entryway takes up 400 square feet. Which inequality can be used to find the possible number of cubicles?

100a + 400 ≤ 6500

Step-by-step explanation:

The office building contains 6500 ft² of space. Each employee has a cubicle that  takes up to 100 ft². The entryway also takes up to 400 ft². The inequality that can be use to find the possible number of cubicles is expressed below.

Let

number of employee/cubicle = a

Total space of the office building =  6500 ft²

The entryway has already occupied 400 ft² of the office building space. Each employee has one cubicle which takes up to 100 ft² of the office building space.The space occupied by the cubicle in the office building can be calculated when you multiply the number of cubicle/employee by 100(size of each cubicle) This will be 100 × a = 100a. The total number of space occupied by the cubicles plus the already space taken by the entryway will be less than or equal to the total space of the office building.Therefore,

100a + 400 ≤ 6500

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step-by-step explanation:

perimeter = 10 +  √10  units

explanation:

first, we will need to get the length of each line using the distance formula which is as follows:

distance = 

1- length of ab:

ab =   = 5 units

2- length of ac

length of ac is the same as ab = 5 units

3- length of bc:

bc =   =  √10  units

now, we can get the perimeter by adding the side lengths as follows:

perimeter = 5 + 5 +  √10

perimeter = 10 +  √10  units

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