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28 votes
28 votes
a work area has 3100 square feet allocated to cubicle space with the rest being walking area there must be 2 supervisors cubicles per every 5 snalytical staff cubicles how many suoervisors cubicle 8' by 8 ' and analytical at 6' by 7'

User Eelco Hoogendoorn
by
3.0k points

1 Answer

16 votes
16 votes

We know that

• The work area has 3100 square feet.

,

• There must be 2 supervisors: their cubicles are 8 by 8.

,

• There must be 5 analytical staff: their cubicles are 6 by 7.

First, let's find the area of each supervisor cubicle.


A_{}=8*8=64

There are two cubicles, so let's multiply


A_{\text{supervisor}}=2*64=128

Now, let's find the area of each analytical staff cubicle.


A=6*7=42

There are 5 cubicles, let's multiply


A_{\text{analytical}}=5*42=210

Let's find the total area covered by these cubicles


A_{\text{total}}=210+128=338

If we divide this with the total area, we have


(3100)/(338)\approx9

This means there can be nine times the given relation between cubicles.

Hence, there can be 18 supervisors' cubicles and 45 analytical staff cubicles.

User Rishil Patel
by
2.7k points
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