1. **Convert the trapezoid dimensions to centimeters and find the area.** - Given: 1 m vertical segment, horizontal segments 2 m, 300 cm, 2 m. - Convert meters to centimeters: 1 m = 100 cm, 2 m = 200 cm. - So horizontal lengths are 200 cm, 300 cm, 200 cm. - Total base length = 200 + 300 + 200 = 700 cm. - The height is 100 cm. - Area of trapezoid = height \times average of parallel sides. - Here, the figure looks like a rectangle with a vertical segment inside, so area = height \times total base = $100 \times 700 = 70000$ cm$^2$. 2. **Convert the L-shaped figure dimensions to meters and find the area.** - Given vertical segments: 200 cm, 100 cm; horizontal segments: 100 cm, 80 cm. - Convert cm to meters: 100 cm = 1 m, 200 cm = 2 m, 80 cm = 0.8 m. - The L-shape can be divided into two rectangles: - Rectangle 1: 2 m height \times 1 m width = 2 m$^2$. - Rectangle 2: 1 m height \times 0.8 m width = 0.8 m$^2$. - Total area = 2 + 0.8 = 2.8 m$^2$. 3. **Reduce fractions to lowest terms:** - 180/200: GCD(180,200) = 20, so $\frac{180}{200} = \frac{180 \div 20}{200 \div 20} = \frac{9}{10}$. - 256/720: GCD(256,720) = 16, so $\frac{256}{720} = \frac{256 \div 16}{720 \div 16} = \frac{16}{45}$. 4. **Convert mixed numbers to decimals (rounded to two decimals):** - $5 \frac{16}{21} = 5 + \frac{16}{21} \approx 5 + 0.7619 = 5.76$. - $2 \frac{9}{17} = 2 + \frac{9}{17} \approx 2 + 0.5294 = 2.53$. 5. **Write 2450 as product of prime factors with exponents:** - Prime factorization: $2450 = 2 \times 5^2 \times 7^2$. 6. **Write 301.008 as a mixed number reduced to lowest terms:** - $301.008 = 301 + 0.008 = 301 + \frac{8}{1000} = 301 + \frac{1}{125}$. - So mixed number is $301 \frac{1}{125}$. 7. **Find missing number G in $\frac{4}{5} + G = \frac{8}{5}$:** - Subtract $\frac{4}{5}$ from both sides: $G = \frac{8}{5} - \frac{4}{5} = \frac{4}{5}$. Final answers: - Area trapezoid: 70000 cm$^2$. - Area L-shape: 2.8 m$^2$. - Reduced fractions: $\frac{9}{10}$ and $\frac{16}{45}$. - Decimals: 5.76 and 2.53. - Prime factorization: $2 \times 5^2 \times 7^2$. - Mixed number: $301 \frac{1}{125}$. - Missing number: $\frac{4}{5}$.