A scale model of a street sign is in the shape of a triangle. The base is 4.25 cm and the height is 8.8 cm what is the area of the street sign ?

Respuesta :

S1NGH

Answer:

18.7 cm²

Step-by-step explanation:

To work out the area of a triangle you have to use the formula

[tex]\frac{1}{2} * B * H[/tex]

Where "B" is the base and "H" is the height

Since these are decimals, I like to convert them into fractions which makes them easier to calculate with

The base is 4.25 cm which will turn into [tex]4\frac{1}{4}[/tex]

The height is 8.8 cm which will turn into [tex]8\frac{8}{10}[/tex]

Now we use the formula

 [tex]\frac{1}{2} * B * H[/tex]

 [tex]\frac{1}{2} * 4\frac{1}{4} *8\frac{8}{10}[/tex]

→ Convert to improper fractions

 [tex]\frac{1}{2} * \frac{17}{4} *\frac{88}{10}[/tex]

→ Simplify

 [tex]\frac{187}{10}[/tex]

→ Convert into decimal

18.7