Answer:
24 square units.
Step-by-step explanation:
We have been given that that 1st triangle is reduced by a scale factor of 0.4. We are asked to find the area of the reduced triangle.
First of all, we will find the sides of reduced triangle by multiplying the original sides of triangle by 0.4.
[tex]10\times 0.4=4[/tex]
[tex]30\times 0.4=12[/tex]
Now, we will use area of triangle formula to find the area of reduced triangle.
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{ Base length*Height}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{12*4}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{48}[/tex]
[tex]\text{Area of triangle}=24[/tex]
Therefore, the area of the reduced triangle is 24 square units.
