Answer:
90 cm²
Step-by-step explanation:
Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.
Let the area of the other triangle be x. Therefore:
[tex] \frac{10}{x} = \frac{4^2}{12^2} [/tex]
[tex] \frac{10}{x} = \frac{16}{144} [/tex]
Cross multiply
[tex] 10*144 = 16*x [/tex]
[tex] 1440 = 16x [/tex]
Divide both sides by 16
90 = x
Area of the other polygon = 90 cm²
