Answer:
The area of the resulting triangle will be: [tex]\boxed{A=900\:cm^2\:}[/tex]
Step-by-step explanation:
The area of a triangle is
[tex]A=\frac{1}{2}\times base\times height[/tex]
Let us suppose
[tex]A=\frac{1}{2}\times base\times height[/tex]
[tex]A\:=\frac{1}{2}\times \:4\times \:18\:\:\:\:\:[/tex]
[tex]A=36\:cm^2\:[/tex]
As the base and height are scaled a factor of 5.
so
base = 4 × 5 = 20
height = 18 × 5 = 90
as
[tex]A=\frac{1}{2}\times base\times height[/tex]
[tex]A\:=\frac{1}{2}\times \:20\times \:90[/tex]
[tex]A=900\:cm^2\:[/tex]
Therefore, the area of the resulting triangle will be: [tex]\boxed{A=900\:cm^2\:}[/tex]