Question

The areas of two similar squares are 16m and 49m.

Answer 1

xy. 49.

uv. 16. the answer is 3.0625

Answer 2

Answer:

The scale factor of their side lengths is 4:7.

Step-by-step explanation:

Let the side length of two squares are p and q.

The area of a square is

$A=a^2$

Using this formula, we get the area of both squares.

$A_1=p^2$

$A_2=q^2$

It is given that the areas of two similar squares are 16m and 49m.

$\frac{p^2}{q^2}=\frac{16}{49}$

$(\frac{p}{q})^2=\frac{16}{49}$

Taking square root both the sides.

$\frac{p}{q}=\sqrt{\frac{16}{49}}$

$\frac{p}{q}=\frac{4}{7}$

Therefore the scale factor of their side lengths is 4:7.