Answer:
The area of silver charm is 33.75 square mm.
Step-by-step explanation:
We are given the following in the question:
The silver and golden charms are similar isosceles triangles.
Gold charms:
Base = 9 mm
Area = 15 square mm
Silver charm:
Base = 9 mm
Property of similar triangles:
Using this property we can write:
[tex]\dfrac{\text{Area of gold charm}}{\text{Area of silver charm}}=\dfrac{(\text{Base of gold charm})^2}{(\text{Base of silver charm})^2}\\\\=\dfrac{15}{\text{Area of silver charm}}=\dfrac{6^2}{9^2}\\\\\text{Area of silver charm} = \dfrac{15\times 9^2}{6^2} = 33.75\text{ mm}[/tex]
Thus, the area of silver charm is 33.75 square mm.
