I need help with my math homework question

Question

A rectangle has a length of 13 meters less than 2 times its width. If the area of the rectangle is 1995 square meters, find the length of the rectangle.

Answer 1

The length of the rectangle is 57 meters long.

solution: Length = 2x - 13 Width = x

Length x Width = 1995 = (2x-13)(x)

1995 = 2x²-13x

0 = 2x² - 13x - 1995

Quadratic Formula: x = [ -b + (√b²-4ac) ] / 2a

x = [-(-13) + √13²-4(2)(-1995) ] / 2 (2)

x = [13 + √169 + 15960] / 4

x =( 13 + √16129 ) / 4

x = ( 13 + 127 ) / 4

x = 140 / 4 = 35

length = 2x - 13 = 70 - 13 = 57 m