The ratio of the areas of two rectangles is 3 to 5. If the area of the larger rectangle is 60 square feet, what is the area of the smaller rectangle?
a) Set up a proportion using the ratio of the areas of the rectangles and the actual areas of the rectangles.

b) Solve the proportion (find the area of the smaller rectangle).

Question

The ratio of the areas of two rectangles is 3 to 5.  If the area of the larger rectangle is 60 square feet, what is the area of the smaller rectangle?
a) Set up a proportion using the ratio of the areas of the rectangles and the actual areas of the rectangles.






b) Solve the proportion (find the area of the smaller rectangle).

mathmale · Answer

The given ratio is (3/5).  The ratio of areas could be represented by (x/60), where x is the smaller area and 60 is the larger area.  Set these two ratios equal to one another and solve the resulting equation for the smaller area, x.

ellerai · Answer

So the proportion would be 3/5 = x/60 ?

ellerai · Answer

@mathmale