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) About Me  (Show Source):
You can put this solution on YOUR website!
.
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 84%2F4 = 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.

For more traditional way to solve the problem see the lesson
    - Solved problems on the perimeter and side lengths of a rectangle
in this site.

By the way, you have free of charge online Textbook in Algebra-I
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK
in this site.


Answer by advanced_Learner(501) About Me  (Show Source):