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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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Q: Knox college is creating a new regtangular parking lot the length is 0.07 mile longer than the width and the area of the parking lot os 0.026 square mile find the length amd width of the parking lot?
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