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 Height
20 x 16 = 320[tex]cm^{2}[/tex]
2. Now let's do the little triangle -
20 - 30 = 10
10 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]
