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You are planning to open a day care. Regulations mandate 35 sq. ft of space per child. How much floor space will you need for 15 children? Will a space 22 ft. by 24 ft. meet the requirement?


How many square feet will be required for 15 children?


___ 425 sq. ft.


__ 525 sq. ft.


A space 22 ft. by 24 ft. is sufficient.


__ true


__ false

Verified Answer :

How many square feet will be required for 15 children?
\(15\times 35=525\)

Will a space 22 ft. by 24 ft. meet the requirement?
\(22\times 24=528\ \textgreater \ 15\times 35=525\)
Yes

Answer:

1) 525 sq. ft.

2) True

Step-by-step explanation:

Since regulations mandate to open a day care is 35 sq. ft of space per child.

So space needed for 15 children = number of students × space required for one child = 15 × 35 = 525 sq. ft.

So option 2 is correct.

To evaluate whether space of 22×24 ft is sufficient we will divide the total space by number of students. If the result matches with regulations mandate then space is sufficient.

Space for one student from the given space = (22×24)/15 = 35.2 sq. feet

This space is bigger than the mandate of minimum space of 35 sq. ft.

Therefore statement is true.

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