Question

Could someone answer this pls thank u

Answer 1

Given:

The area model.

The area of the shape is 82 square units.

To find:

The correct equation for the given situation.

Solution:

We know that, area of a rectangle is

`Area=Length * Width`

The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is

`A_1=(x)* (3x)=3x^2`

`A_2=(x)* (4)=4x`

`A_3=(3)* (3x)=9x`

Now, the total area is equation to 82 square units.

`A_1+A_2+A_3=82`

`3x^2+4x+9x=82`

`3x^2+13x=82`

Since the required equation is
`3x^2+13x=82`, therefore, the correct option is C.