SOLUTION: The perimeter of one square exceeds that of another by 16 and its area is 44 less than 4 times the area of the other. What is the length of the side of each side of each square?
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Question 164604: The perimeter of one square exceeds that of another by 16 and its area is 44 less than 4 times the area of the other. What is the length of the side of each side of each square?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let call the first square side a and the second square side b.
The perimeters are,
and the areas are,
.
.
.
"perimeter of one square exceeds that of another by 16"
1.
its area is 44 less than 4 times the area of the other
2.
Use eq. 1 to come up with an expression for a in terms of b.
1.
Now substitute that expression for a in eq. 2 and solve for b.
2.
We'll only solve for the positive b solution since a negative length doesn't make sense.
From eq. 1,
.
.
.
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