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ioda
3 years ago
8

what is the scale if the scale drawing area is 5 square inches and the actual area is 125 square feet

Mathematics
1 answer:
galben [10]3 years ago
4 0
The answer is:  "1 square inch : 25 square feet" ; 
                        
                 or:    " 1: 300 " .
_____________________________________________

5 in² /125 ft² =  ?

5/125 = (5÷5)/(125÷5) = 25

So, the answer is: 1 square inch: 25 square feet.
____________________________________________
OR:

Convert: "25 square feet" to "square inches" ;

12 square inches = 1 square ft.

So; "25 square feet" = (25 * 12) square inches = 300 square inches.
__________________________________________________
So, " 1 square inch: 25 square feet"  ;
 
     =  " 1 square inch: 300 square inches "  =  " 1 : 300 " ; 

________________________________________________
So.  The answer is:  "1 square inch : 25 square feet" ; 
                        
                          or:    " 1: 300 " .
________________________________________________
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The formula of an area of this right triangle is:

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Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

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