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Gnesinka [82]
3 years ago
13

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

Mathematics
2 answers:
Alexxandr [17]3 years ago
7 0

xy. 49.

uv. 16. the answer is 3.0625

OlgaM077 [116]3 years ago
7 0

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.

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