Question

Louie and johnna made a table flag for the math team to have during competitions.The flag is shown below

Answer 1

The expression for the area of the flag is A = 6x² cm²

Using the parameters given for our Calculation;

• base = 3x
• height = 4x

Since the flag has a triangular shape, we use the area formula of triangle for our Calculation;

The formula for the area of a triangle is ;

• 1/2 × base × height

Substituting our values into the equation

Area = 1/2 * 3x * 4x

Area = 12x²/2

Area = 6x² cm²

The expression for the area is : A = 6x² cm²

Answer 2

To solve this we are going to use the formula for the area of triangle:
`A= (1)/(2) bh`
where

`A` is the area of the triangle

`b` is the base of the triangle

`h` is the height of our triangle

We can infer from the picture of our triangular flag that the base of the triangle is (3x)cm, so
`b=(3x)cm`. We can also infer that the height of the triangle is (4x)cm, so
`h=(4x)cm`. Lets replace the values in our formula:

`[tex]A= (1)/(2) bh`[/tex]

`A= (1)/(2) [(3x)cm][(4x)cm]`

`A= ((12x^2)cm^2)/(2)`

`A=(6x^2)cm^2`

We can conclude that the expression for the area of our flag is
`A=(6x^2)cm^2`.