Catarina and Tom want to buy a rug for a room that is 8 by 12. They want to leave an even strip of flooring uncovered around the edges of the room. How wide a stip will have if they buy a rug with an area of 32 square feet

The length of the strip is 4ft

Explanation:

Given

Room dimension: 8 by 12

Rug Area: 32

Required

Determine the width of the strip

Since it is an even strip. Represent the width with w.

So, the rug area is:

Substitute 32 for Area

Expand

Open brackets

Collect Like Terms

Expand

Factorize

But w can't be greater than the any of the dimension of the room (8 or 12).

So:

Hence, the length of the strip is 4ft

the correct answer is:   "   3.6 % " .

          →   the unemployment rate is:   " 3.6 % " .

explanation:

to calculate the "unemployment rate" :

the "unemployment rate"   =

  [# of people unemployed] /   [working age population]   * 100 %   ;

                =   [9 million] / [250 million]     *   100 % ;

    →     note:   the units of "million" cancel out;

                    since:   " {million} / {million} = 1 " ;

                =   (9 / 250)   * 100 %   ;

                = 0.036 * 100 % ;

                =   3.6 %

answer:   the unemployment rate is:   " 3.6 % " .

after the senate and the house passed different bills and deadlock threatened, a compromise bill was worked out with the following provisions: (1) missouri was admitted as a slave state and maine (formerly part of massachusetts).