Question

The ratio of the perimeters of two rectangles is 4 to 7. The perimeter of the larger rectangle is 42 inches.

What is the perimeter of the smaller rectangle?
A. 10.5 inches
B. 73.5 inches
C. 28 inches
D. 24 inches

Answer 1

The proportion is 4:7 compared to the proportion ?:42. The way I prefer to do this is 7÷4=1.75. 1.75 is the difference between the smaller and larger rectangles. Then take 42÷1.75=24. The perimeter of the smaller rectangle is D. 24.

Answer 2

D. 24 inches

Explanation:

In order to calculate the perimeter of the other rectangle is just to do a simple rule of three:

`(4)/(7)=(x)/(42)`

Now you just have to clear the x from the equation:

`x=(42*4)/(7)`

`x=(168)/(7)`

`x=24`

So the answer is that following the rule of the rectangle from 4:7 the answer is

24:42, that is equivalent.