SOLUTION: In order to double the carpeted area in an office lobby,a decorator adds a strip of carpet on all 4 sides of a 4yd. by 6 yd. rectangle that is now carpeted.
How wide is the strip
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Question 1138281: In order to double the carpeted area in an office lobby,a decorator adds a strip of carpet on all 4 sides of a 4yd. by 6 yd. rectangle that is now carpeted.
How wide is the strip?
Found 3 solutions by greenestamps, josgarithmetic, josmiceli:
Answer by greenestamps(13208) (Show Source): You can put this solution on YOUR website!
The current carpeted area is 4x6 = 24 square yards.
The area doubled will be 24*2 = 48 square yards.
The original length is 2 more than the width; assuming the added strip is of uniform width, the new length still has to be 2 more than the width. Two numbers that differ by 2 and have a product of 48 are 6 and 8. So the new overall dimensions are 6x8 yards.
Since the length and width have each increased by 2 yards, and the added carpet is on all four sides, the width of the strip is 1 yard.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Simplify and solve for x.
-
, factors of 12 differ by 1.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the widths of the added strips
= the width that is added to the sides
convert yards to feet
Use quadratic formula
ft
This is 1 yd so the strip is 1 yd wide.
I converted to feet thinking there might
be fractions of a yd in answer
--------------------------------------------
check:
OK
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