-x + 8y = -13 5x + 8= 17

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Step-by-step explanation:

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Length = 70 meters

Width = 31 meters

Step-by-step explanation:

Let the width of the rectangle be x.

Since the length of the base of the Parthenon is 8 meters more than twice its width. This will be: = 2x + 8

Area = 2170

Since length × width = area

(2x + 8) × x = 2170

2x² + 8x = 2170

Divide through by 2

x² + 4x = 1085

x² + 4x - 1085 = 0

x² + 35x - 31x - 1085 = 0

x(x + 35) - 31(x + 35) = 0

(x + 35) = 0 or (x - 31) = 0

x - 31 = 0

x = 0 + 31

x = 31

Width = 31 meters

Length = 2x + 8

= 2(31) + 8

= 62 + 8

= 70 meters