SOLUTION: What is the length of a rectangular garden whose perimeter is 72m and area 308 meter square?

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Question 1162911: What is the length of a rectangular garden whose perimeter is 72m and area 308 meter square?
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
















Solve the quadratic for . The two roots will be the length and the width. You decide which is which.


John

My calculator said it, I believe it, that settles it


Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


A solution using formal algebra is something you should know how to do. However, if a formal solution is not required and the objective is only to solve the problem as quickly as possible, then mental arithmetic will find the answer.

The perimeter is 72, so length plus width is 36. So you need two numbers whose sum is 36 and whose product is 308.

So find pairs of numbers with a product of 308 and look for one for which the sum is 36.

308*1 no
154*2 no
77*4 no
44*7 no
22*14 YES!