The length of a rectangle is more 1m than twice the width, and the area of the rectangle is 28m. Find the dimensions of the rectangle.
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Area of Rectangle is 28, Length is 1 more then twice the width
Let width be W
Length is 1+ 2W
Area = Length times Width
28 = (1+2W)W
28 = W+ 2W^2 (Quadratic Equation)
0 = 2W^2 + W - 28
0 = (2W - 7)(W + 4)
2W - 7 = 0 , W + 4 =0
2W = 7 W = -4 side can not have negative length
W = 7/2
Width is 7/2 m and Length is 8m
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