#### Answer

$(45x+8)\ cm^2$

#### Work Step by Step

The area of the figure is the sum of the areas of the two rectangles.
area = width x length
$10(x-2)+7(5x+4)$ $\longrightarrow$distributive property
$10x-20+35x+28$ $\longrightarrow$combine like terms
$45x-20+28$ $\longrightarrow$combine constants
$45x+8$