Question

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

Answer 1

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:

`\mathrm{Area=side}*\mathrm{side}`

Square A:

`\begin{gathered} A=6*6 \\ A=36cm^2 \end{gathered}`

Square B:

`\begin{gathered} A=4*4 \\ A=16cm^2 \end{gathered}`

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

`\frac{\mathrm{Area}\triangle_A}{\mathrm{Area}\triangle_B}=(36)/(16)`

The ratio between the areas will be 36/16.