contestada

A rectangle has a length of 23 yards less than 4 times its width. If the area of the rectangle is 3131 square yards, find the length of the rectangle.

Respuesta :

Answer:

Length = 101  yards ;  width = 31

Step-by-step explanation:

Length = 4w - 23

width = w

A = lw

3131 = (4w - 23)(w)

3131 = 4w² - 23w

0 = 4w² - 23w - 3131

0 = (4w² + 101)(w - 31)

0 = 4w + 101    ;    0 = w - 31

-101 = 4w              31 = w

-101/4 = w               31 = w

reject - answer, so width = 31  and length = 4w - 23

                                                         length = 4(31) - 23

                                                         length = 124 - 23

                                                         Length = 101

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