Question

Polygon Q is a scaled copy of Polygon P using a scale factor of 1/2. Polygon Q’s area is what fraction of Polygon P’s area??

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given :

Polygon Q is a scaled copy of Polygon P using a scale factor of $\dfrac{1}{2}$

To find : Polygon Q’s area is what fraction of Polygon P’s area??

Solution :

$\dfrac{Polygon\ Q}{polygon\ P}=\dfrac{1}{2}$

So, According to Area similarity theorem, we get that :

$\dfrac{Ar(Q)}{Ar(P)}=\dfrac{1^2}{2^2}=\dfrac{1}{4}$

Hence, the required ratio is $Ar(Q)=\dfrac{1}{4}(Ar(P))$