For a rectangle:

and

Let width and length.

Thus , so the width is and the length is .

Then the area becomes .

Use the factor-label nethod to solve this problem:

or approximately .

Use proportions to solve this problem:

Let acres worked by Frank and acres worked by George.

Cross-multiply to get or so .

So Frank works and George works .

This problem is solved using proportions.

Cross multiply to get and then divide by to get

To find the speed (or rate) that Josef will need to travel, we can use the equation  (). 

This equation cannot be used for Josef yet, since only the distance traveled is known and not the time in which he will need to make the trip.

To find the time it takes Barbara to make the trip, use the same equation to solve for , where the distance is the length of Barbara's trip. Note that we express  miles per hour as a fraction that represents the ratio of  miles to  hour.

Multiply both sides of the equation by the reciprocal of the rate. Note that the unit of "miles" cancels out, leaving only the unit "hours" (time). The result will be expressed as a fraction of a single hour.

The amount of time it takes Barbara to get to the beach must be the same amount of time it takes Joseph to get to the beach.

Therefore, we can use this new value of and the  equation to find the rate Josef will need to travel for his  mile trip.

Multiply both sides by the reciprocal of time (a fraction) to isolate the rate.

Verbal cues include "IS" means equals and "OF" means multiplication:

Since we are looking at a square, the formula for the area of a square is .

Therefore we need to know the length of each side.

Since this is a square fence, then each of the four sides will be equal.

The amount of fence that the farmer has in the problem will become the perimeter of our square.

Since  when working with a square, for this problem .

Plug that into our original equation.

Since the pizza began as  slices and there are now  slices remaining, a total of  slices were eaten (because ). Of the  eaten pieces, it is stated that  slice was eaten by Eileen. This means a total of  slices were eaten by Roseanne and Sasha combined. To find exactly how many slices Sasha ate, use the fact that Roseanne ate twice as many slices as Sasha. Write and solve for  in the following equation, where  is the number of slices Sasha ate. Note that  stands for the number of slices Roseanne ate, since she ate twice as many slices as Sasha.

 slices

First, let  = speed of the helicopter,  = speed of the wind, and  = distance between city A and city B. Next, find the ratio of  to . Traveling against the wind: . Traveling with the wind: . Finally, set the equations equal to one another: .

Simplify the equation: .

It really doesn't matter what  and are. What matters is the ratio given to us,  red:  blue. Let's assume that he can only have whole shirts. That means that the minimum number of red shirts he can have is , and the minimum number of blue is , giving us a total of .