Question

Addison is making a flag of the Czech Republic for a class project. A sketch if the flag is shown. How much red, white, and blue material will Addison need?

Answer 1

The red material needed is
`84\ in^(2)`

The white material needed is
`84\ in^(2)`

The blue material needed is
`48\ in^(2)`

Explanation:

Let

x------> area of the red material

y-----> area of the white

z----> area of the blue material

The total area is equal to

`A=(18)(12)=216\ in^(2)`

so

`x+y+z=216` -------> equation A

The area of the white is equal to the area of the red

so

`x=y` ------> equation B

Find the area of the triangular blue material

`z=(1)/(2)(12)(18-10)=48\ in^(2)` -----> equation C

substitute equation C and equation B in equation A

`y+y+48=216`

`2y=216-48`

`y=168/2=84\ in^(2)`

Find the value of x

`x=84\ in^(2)`

Therefore

The area of the red material is
`84\ in^(2)`

The area of the white material is
`84\ in^(2)`

The area of the blue material is
`48\ in^(2)`