Answer:640[tex]cm^{2}[/tex](I hope that I am right)Step-by-step explanation:The bigger shape :1. First, look at the triangle as a whole - Area of a triange : [tex]\frac{Base x Height}{2}[/tex]30 x 48 = 1440[tex]cm^{2}[/tex]1440 ÷ 2 = 720[tex]cm^{2}[/tex]2. Now let's look at the small triangle -20 x 16 = 320[tex]cm^{2}[/tex]320 ÷ 2 = 160[tex]cm^{2}[/tex]The area of the bigger shape -720 - 160 = 560[tex]cm^{2}[/tex]The smaller shape :1. Let's look at the shape as a rectangle first -Area of a rectangle = Base x Height20 x 16 = 320[tex]cm^{2}[/tex]2. Now let's do the little triangle -20 - 30 = 1010 x 16 = 160[tex]cm^{2}[/tex]160 ÷ 2 = 80[tex]cm^{2}[/tex]The area of the smaller shape -80[tex]cm^{2}[/tex]The Area Of The Shaded Area :560 + 80 = 640[tex]cm^{2}[/tex]