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The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently measured 120ft by 80ft, and the expansion will increase its area by 4,400ft^2. By how many feet should the parking lot be increased?

Respuesta :

Charmber06

Answer:

20

Step-by-step explanation:

The current area is 120(80)=9600 and he want to expand it by 4400 so that the new area will be 9600+4400=14000 

14000=(120+x)(80+x) 

14000=9600+200x+x^2 

x^2+200x-4400=0 

x^2-20x+220x-4400=0 

x(x-20)+220(x-20)=0 

(x+220)(x-20)=0, since x is an increase it must be greater than zero so 

x=20ft 

(120+20)(80+20)=14000ft^2

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