contestada

The length of a rectangle is 4 inches more than 3 times the width. If the area of the rectangle is 224 square inches, find the length and the width.

Respuesta :

Answer:

width = 8 inches;     length = 28 inches

Step-by-step explanation:

Length = 4 + 3w

width = w

Area = lw

224 = (4 + 3w) w

224 = 4w + 3w²

0 = 3w² + 4w - 224

( 3w + 28   )( w - 8) = 0

3w + 28 =0 ;  w - 8 = 0

 3w = -28  ;    w = 8

 w = -28/3

  reject negative answer    So width = 8 and the length = 4 + 3w

                                                                                 length = 4 + 3(8) = 4 + 24

                                                                                Length = 28    

Otras preguntas