Erinizc00l
Answered

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?

A10.5 inches
B73.5 inches
C28 inches
D24 inches

Verified Answer :

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.

david8644

Answer:

D. 24 inches

Step-by-step explanation:

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

\(\frac{4}{7}=\frac{x}{42}\)

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

\(x=\frac{42*4}{7}\)

\(x=\frac{168}{7}\)

\(x=24\)

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

24:42, that is equivalent.

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