SOLUTION: A corn field has a rectangular area of 40,000 square yards. If the length is 200 yards more than twice the width, find the dimensions of the field.

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Question 228684: A corn field has a rectangular area of 40,000 square yards. If the length is 200 yards more than twice the width, find the dimensions of the field.
Answer by solver91311(12126) About Me  (Show Source):
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Let represent the width. Twice the width is then . 200 yards more than that is , which is the length. The length times the width is the area:







Just solve the quadratic for to get the width, then calculate the length from that. Hint: This factors. You will get two real number roots but one of them will be negative. Exclude the extraneous negative root because you are looking for a positive measure of length.

John