# Two similar polygons have areas of 4 square inches and 64 square inches.The ratio of a pair of corresponding sides is .The ratio of

Two similar polygons have areas of 4 square inches and 64 square inches. The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .
The ratio of a pair of corresponding sides is .

## This Post Has 8 Comments

1. Expert says:

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

2. maddieeelllis3956 says:

this is one heck of a question bud

Step-by-step explanation:

3. Expert says:

43

step-by-step explanation:

4. hsandshsands2329 says:

True

step-by-step explanation:

Just in case you needed a second opinion.

5. kay4451 says:

Option A is correct

The ratio of a pair of corresponding sides is 1/4

Step-by-step explanation:

Definition:

If two polygons are similar, then

the area of similar figure is the square of the ratio of its corresponding sides.

As per the statement:

Two similar polygons have areas of 4 square inches and 64 square inches

Let the corresponding sides of the polynomials are a and b.

then by definition we have;

$\frac{4}{64}=\frac{a^2}{b^2}$

⇒$\frac{1}{16} = (\frac{a}{b})^2$

⇒$\sqrt{\frac{1}{16}} =\frac{a}{b}$

⇒$\frac{1}{4} = \frac{a}{b}$

or

$\frac{a}{b} = \frac{1}{4}$

Therefore, The ratio of a pair of corresponding sides is 1/4.

6. meillsss says:

4

Step-by-step explanation:

The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.

7. sherlock19 says:

The ratio of a pair of corresponding sides of 1/16.

8. abelxoconda says:

That is true

Step-by-step explanation:

The ratio is a one-to-one measure, literally a ratio of the sides in reduced form.  The area is that one-to-one ratio squared.

Our numbers are already squared, so in order to find the one-to-one we have to take the square roots of both of them.

$\frac{\sqrt{4} }{\sqrt{64} } =\frac{2}{8} =\frac{1}{4}$.