What value would have to be added to both expressions in order to solve by completing the square?
1 answer:
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Easy peasy
the fastest way is to pretend we have 1 big rectangle with 2 smaller rectangles cut out
see attachment
the big one is 12 by 7
the smaller ones are 5 by6 and 5 by 6
big-smaller=area
big=12*7=84
smaller=5*6+5*6=30+30=60
big-smaller=84-60=24
answer is 24 in²
first choice
the fastest way is to pretend we have 1 big rectangle with 2 smaller rectangles cut out
see attachment
the big one is 12 by 7
the smaller ones are 5 by6 and 5 by 6
big-smaller=area
big=12*7=84
smaller=5*6+5*6=30+30=60
big-smaller=84-60=24
answer is 24 in²
first choice
The points define a trapezoid of height 6 and midsegment length 6. The area is
6×6 = 36 units²
6×6 = 36 units²