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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
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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
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2.7k points