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:

$\mathrm{Area=side}\times\mathrm{side}$

Square A:

$\begin{gathered} A=6\times6 \\ A=36cm^2 \end{gathered}$

Square B:

$\begin{gathered} A=4\times4 \\ A=16cm^2 \end{gathered}$

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

$\frac{\mathrm{Area}\triangle_A}{\mathrm{Area}\triangle_B}=\frac{36}{16}$

The ratio between the areas will be 36/16.