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The perimeters of two squares are in a ratio of 6 to 4. What is the ratio betweenareas of two squares?A. 3 to 2B. 6 to 4C. 12 to 8D. 36 to 16

Sagot :

Hello!

I'll explain this exercise to you with some examples to make it clear.

First, let's imagine a square A with sides of 6cm, and a square B with sides of 4 cm:

Let's calculate the areas of both squares, using the formula:

[tex]\mathrm{Area=side}\times\mathrm{side}[/tex]

Square A:

[tex]\begin{gathered} A=6\times6 \\ A=36cm^2 \end{gathered}[/tex]

Square B:

[tex]\begin{gathered} A=4\times4 \\ A=16cm^2 \end{gathered}[/tex]

Now, let's calculate the ratio between the areas:

[tex]\frac{\mathrm{Area}\triangle_A}{\mathrm{Area}\triangle_B}=\frac{36}{16}[/tex]

The ratio between the areas will be 36/16.

View image DonatoT546627
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