91Ó°ÊÓ

The length of a rectangle is 5 feet more than twice the width. a. If \(x\) represents the width of the rectangle, represent the perimeter of the rectangle in terms of \(x .\) b. If the perimeter of the rectangle is 2 feet more than eight times the width of the rec- tangle, find the dimensions of the rectangle.

On his trip to work each day, Brady pays the same toll, using etther all quarters or all dimes. If the number of dimes needed for the toll is 3 more than the number of quarters, what is the toll?

A carpenter is making a part for a desk. The part is to be 256 millimeters wide plus or minus 3 millimeters. This means that the absolute value of the difference between the dimension of the part and 256 can be no more than 3 millimeters. To the nearest millimeter, what are the acceptable dimensions of the part?

In \(27-39,\) factor each polynomial completely. $$ 4 a x^{2}+4 a x-24 a $$

In \(27-39,\) factor each polynomial completely. $$ x^{4}-81 $$

In \(27-39,\) factor each polynomial completely. $$ 2 x^{3}+13 x^{2}+15 x $$

In \(42-45,\) each polynomial represents the area of a rectangle. Write two binomials that could represent the length and width of the rectangle. $$ 9 x^{2}-6 x+1 $$