SOLUTION: A Rectangular field has a length 10 feet more than it's width. If the area of the field is 264 feet, what are the dimensions

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Question 248315: A Rectangular field has a length 10 feet more than it's width. If the area of the field is 264 feet, what are the dimensions
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Your problem, as stated, makes no sense at all. You cannot measure area in feet. If the length and width are measured in feet, then the area must be expressed in square feet. This actually makes quite good sense if you think about it. To calculate the area of a rectangle which dimensions are given in feet, you multiply the length in feet times the width in feet, and feet times feet = feet squared, i.e. square feet.

Let represent the width. Then the length must be . Since the area is the length times the width we can say, for a field with an area of 264 square feet:





Put in standard form:



Solve the factorable quadratic. Exclude the negative root. The positive root is the width and the length is the width plus 10 (or the additive inverse of the negative root).

John
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