Question

Last question I need done for my assignment!!! Help would be greatlyyyy appreciated!

Answer 1

Answer:
`22\ units^2`

Explanation:

You need to remember that the area of a rectangle can be found using this formula:

`A=lw`

Where "A" is the area of the rectangle, "l" is the length and "w" is the width.

As you can observe in the picture attached, you can divide the figure into four rectangles (identified as A,B,C and D) whose dimensions are also shown in the picture.

Then, applying the formula, you get that the area of each rectangle is:

`A_A=l_Aw_A=(6\ units)(1\ unit)=6\ units^2\\\\A_B=l_Bw_B=(4\ units)(2\ units)=8\ units^2\\\\A_C=l_Cw_C=(3\ units)(2\ units)=6\ units^2\\\\A_D=l_Dw_D=(2\ units)(1\ unit)=2\ units^2`

Therefore, you need to add the areas of the rectangles calculated before in order to find the area of the figure.

You get that this is:

`A_f=6\ units^2+8\ units^2+6\ units^2+2\ units^2\\\\A_f=22\ units^2`