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

$Area=Length \times Width$

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

$A_1=(x)\times (3x)=3x^2$

$A_2=(x)\times (4)=4x$

$A_3=(3)\times (3x)=9x$

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.