A geometry problem by Arman Mulić
Geometry
Level
pending
Distinction of squares two pages is 5 cm. If their areas differ by 95 cm squared, what is the difference of their scale? (In cm)
The answer is 20.
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1 solution
We have that a-b=5 cm,then we write area P1=a a and for another square P2=b b.We also have that P1-P2=95 cm squared.We use this formula: (a+b)(a-b)=a2-b2 and write (a-b)(a+b)=95 because a a=a2 (squared)...then we put 5 from a-b=5...and we find a from that like: a-b=5 => a=5+b...then we get 5 (5+b+b)=95... then we find b from that... 5 (5+b+b)=95 5 (5+2b)=95 25+10b=95 10b=95-25 10b=70 b=70/10 b=7 cm
a=5+b=5+7=12 cm and on the end we have .. O1=4 a=4 12=48 cm O2=4 b=4 7=28 cm
O1-O2=48-28=20 cm
The end :D ;)