SOLUTION: If the sides of a square are decreased by 2 cm, the area is decreased by
36 cm2. What were the dimensions of the original square?
Please help. I don't even know how to start.
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Question 414362: If the sides of a square are decreased by 2 cm, the area is decreased by
36 cm2. What were the dimensions of the original square?
Please help. I don't even know how to start.
Found 2 solutions by Earlsdon, MathLover1:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let x = the length of the side of the original square and A its area, so...
Now decrease the sides by 2 cm (x-2). and the area by 36 (A-36), so now you have:
Substitute
Simplify.
Combine like-terms.
Add 36 to both sides.
Add 4x to both sides.
Divide both sides by 4.
The dimensions of the original square were 10 by 10.
Check:
Original area:
New area:
Difference in the old and new areas:
The new area decreased by 36 sq.cm.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
the sides of a square are all equal...let them be
the area of a square is
If the sides of a square are decreased by 2 cm, we can write it as
the area is decreased by , we can write it as
What were the dimensions of the original square?
put these changes in original formula
...the dimensions of the original square
check:
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