SOLUTION: A rectangular goat pen has an area of 220 square meters. Its perimeter is 62 meters. What are the dimensions of the pen?
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Question 978105: A rectangular goat pen has an area of 220 square meters. Its perimeter is 62 meters. What are the dimensions of the pen?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The perimeter is two times the length plus 2 times the width. Therefore the sum of the length and the width is half of the perimeter.
Which is to say
The area is the length times the width, so in terms of just the width, the area is:
or, in standard quadratic form:
When you solve this factorable quadratic, you will get two positive real roots. One value is the length and the other value is the width.
John
My calculator said it, I believe it, that settles it
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