Question

Audrey weaved a blanket. The area of the blanket is 36×2 + 19x – 6 meters
while its length is 9x – 2 meters. Find the expression for the width of the blanket.

1. Latifah
the expression for the width is 4x + 3
Step-by-step explanation:
Area = base times width.  Thus, we divide 9x – 2 into 36x^2 + 19x – 6 to find an expression for the width.  Dividing 9x into 36x^2, we get 4x, which tells us that the first term of the quotient starts with 4x:    (4x + ? )(9x – 2).  Replacing the ‘?’ with 3, we get:
(4x + 3)(9x – 2), which through multiplication becomess
36x^2 + 27x – 8x – 6, or 36x^2 + 19x – 6, which was the original dividend.
Thus the expression for the width is 4x + 3 (in meters).