SOLUTION: A rectangle is 5m longer than it is width . If the length is shortened by 2 meters and the width is increased by 1 m. The area will remain the same. Find the length and width.
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Question 744252: A rectangle is 5m longer than it is width . If the length is shortened by 2 meters and the width is increased by 1 m. The area will remain the same. Find the length and width.
Your answer would be highly appreciated. Thank you! Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
A rectangle is 5m longer than it is width . If the length is shortened by 2 meters and the width is increased by 1 m. The area will remain the same. Find the length and width.
Your answer would be highly appreciated. Thank you!
Let original width be W
Then length = W + 5
Original area = W(W + 5), or
Shortened by 2 meters, the new length is: W + 5 - 2, or W + 3
Increased by 1, the new width is: W + 1
New area = (W + 3)(W + 1), or
Since area remains the same, then:
W, or original width =
Original length = 3 + 5, or
You can do the check!!
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