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Let the length be x+0.07 and the width be x:

(x+0.07)*x = 0.026

x2+0.07x = 0.026

x2+0.07x-0.026 = 0

Solving the above equation by means of the quadratic equation formula gives x a positive value of 13/100 or 0.13

Therefore: length = 0.13+0.07 = 0.2 miles and width = 0.13 miles

Check: 0.2*0.13 = 0.026 square miles

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