SOLUTION: The area of a rectangular parcel of land is 720 square meters. The length of the land is 4 meters less than twice the width. A. Write an equation that can be used to find the dime

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Question 143143: The area of a rectangular parcel of land is 720 square meters. The length of the land is 4 meters less than twice the width.
A. Write an equation that can be used to find the dimensions of the land.
B. Solve the equation written in part A to find the dimensions of the land.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
The area of a rectangle is given by length times width:

For this rectangle: , so the area is then , but this is equal to , so:





Solving the quadratic gives you the width which can be substituted into to calculate the length.

You can do your own arithmetic for part B. Hint: The quadratic factors quite neatly, but one of the roots will be negative. You can exclude that root since you are looking for a positive measure of length.

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