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eduard
3 years ago
13

a square has one side increased in lenght by two inches and an adjacent side decreaded in length by two  inches. If the resultin

g rectange has an area of 60 square inches, what was the area of the original square?
Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0
Let
x---------> length original square side
x1-------->  length resulting rectangle
y1--------> wide resulting rectangle
A1--------> area resulting rectangle

we know that
x1=x+2
y1=x-2
A1=60 in²
60=(x+2)*(x-2)--------> 60=x²-2x+2x-4-------> 60=x²-4------> x²=64
x1=8
x2=-8

the solution is 
x=8 in
<span>the area of the original square is 8*8-------> 64 in</span>²

the answer is 64 in²

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