SOLUTION: The lenght of a rectangular park is 15 m longer than that of its breadth. If the perimeter of the park is 114 m, find its lenght and breadth.
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Question 1043585: The lenght of a rectangular park is 15 m longer than that of its breadth. If the perimeter of the park is 114 m, find its lenght and breadth. Found 2 solutions by ikleyn, advanced_Learner:Answer by ikleyn(52781) (Show Source):
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The lenght of a rectangular park is 15 m longer than that of its breadth.
If the perimeter of the park is 114 m, find its length and breadth.
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Let me show you how to solve this problem mentally without using equations.
Let us make each of the two (both) long sides in 15 m shorter (mentally).
Then all the sides will have equal length, and the perimeter will be in 2*15 = 30 m shorter. So, the perimeter will be 114 - 30 = 84 m.
But then will be 4 equal lengths in 84 meters, so each side will be = 21 m.
Hence, the width of the park is 21 m.
Then the length of the park is 21 + 15 = 36 m.
Answer. The length is 36 m, the width is 21 m.