Question

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 ?

Answer 1

18.7 cm²

Explanation:

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

`(1)/(2) * B * H`

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
`4(1)/(4)`

The height is 8.8 cm which will turn into
`8(8)/(10)`

Now we use the formula

`(1)/(2) * B * H`

`(1)/(2) * 4(1)/(4) *8(8)/(10)`

→ Convert to improper fractions

`(1)/(2) * (17)/(4) *(88)/(10)`

→ Simplify

`(187)/(10)`

→ Convert into decimal

18.7