ANSWER:
The area of the triangular road sign is
![600 \mathrm{ln}^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mzkwkw2dblh88apcdvwukebv2ylgh4fi1o.png)
SOLUTION:
We need to find the area of the road sign, which is in triangular shape.
So, we need to calculate the area of a triangle.
Given, length of the base of the given triangle = 30 inches
Height of the given triangle = 40 inches
We know that,
area of the triangle
![\Delta=(1)/(2) * b * h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5kjgt5po1p8pz7sa9ghbm73p8ng115m21j.png)
Where,
= area of a triangle
b = base length of the triangle
h = height of the given triangle
hence substituting the values we get
![\Delta=(1)/(2) * 30 * 40](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1nrirk5ttzfulo01o96l3w3ex4e1hcgtji.png)
![=(1)/(2) * 1200](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jei0iskk0tm1kmft51itszubh4axy2qwqs.png)
![=600 \ln ^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jfn9wkx32iqifrjogj1b4tpusagvckptl9.png)
Hence, the area of the triangular road sign with base of 30 inches and a height of 40 inches is
![600 \ln ^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i90prv4uvsbn6u12ffvzmcbnl5gf7dnx4b.png)