Mathematics: The areas of two similar squares are 16m and 49m. what is the scale factor of their side lengths?

The areas of two similar squares are 16m and - id1649328295, 22moneymorgan

arlettg

10.03.2022

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.

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juliajordan427

07.09.2021

1 question. will be 2.3

2 question. 2.6

3 question. 9.2

Here some answers sry i can't answer all

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