Respuesta :

Answer:

600 in²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] base × height, that is

A = 0.5 × 30 × 40 = 15 × 40 = 600 in²

ANSWER:

The area of the triangular road sign is [tex]600 \mathrm{ln}^{2}[/tex]

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 [tex]\Delta=\frac{1}{2} \times b \times h[/tex]

Where, [tex]\Delta[/tex] = area of a triangle

b = base length of the triangle

h = height of the given triangle

hence substituting the values we get

[tex]\Delta=\frac{1}{2} \times 30 \times 40[/tex]

[tex]=\frac{1}{2} \times 1200[/tex]

[tex]=600 \ln ^{2}[/tex]

Hence, the area of the triangular road sign with base of 30 inches and a height of 40 inches is [tex]600 \ln ^{2}[/tex]