SOLUTION: Translate to an equation and find all solutions: The length of a rectangle is 6m more than the width. the area is 40m^2. Find the length and the width

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Question 101727: Translate to an equation and find all solutions:
The length of a rectangle is 6m more than the width. the area is 40m^2. Find the length and the width
Answer by MathLover1(20850) About Me  (Show Source):
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The length of a rectangle is 6m more than the width. the area is 40m^2. Find the length and the width

the length=a
the width=b=a-6
area =A
A=a%2Ab
A=a%2A+%28a-6%29
40m%5E2=a%5E2-6a
a%5E2-6a-40m%5E2=0
a%281%2C2%29=+6%2B-sqrt%2836%2B160%29%2F2
a%281%2C2%29=6%2B-sqrt%28196%29%2F2
a%281%2C2%29=6%2B-+14%2F2
We need only value of a1 since the length is positive
a1=%286%2B14%29%2F2=20%2F2=10
b1=10-6=4
so
a+=+10
b+=+4