Explanation Given: College parking lot Knox college is creating a new rectangle parking lot. The length is 0.07 miles longer than the width and the area of the parking lot is 0.026 square miles. Formula used: Write the area of rectangle formula. A = w l Here, w is the width and l is the length. Write the quadratic equation formula: x = − b ± b 2 − 4 a c 2 a Here, a , b and c are the real numbers. Calculation: Consider the following figure: Knox is creating a new rectangle parking lot. The length is 0.07 miles longer than the width and the area of the parking lot is 0.026 square miles. Assume width of the lot is w then length is ( 0.07 + w ) miles . Recall the area of rectangle formula. A = w l Substitute 0.026 miles for A and ( 0.07 + w ) miles for l . 0.026 miles = w ( 0.07 + w ) miles 0.026 = 0.07 w + w 2 miles w 2 + 0.07 w − 0.026 = 0 Use the quadratic equation formula: w = − 0.07 ± ( 0

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Chapter 8.4, Problem 31E

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To calculate: The length and the width of the parking lot, where the length is 0.07 miles longer than the width and the area of the parking lot is 0.026 square miles.

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Chapter 8.4, Problem 30E

Chapter 8.4, Problem 32E

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The length and the width of the parking lot, where the length is 0.07 miles longer than the width and the area of the parking lot is 0.026 square miles.

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To calculate: The length and the width of the parking lot, where the length is 0.07 miles longer than the width and the area of the parking lot is 0.026 square miles.

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