To solve these problems, let's break them down into parts:
1. Area of a Parallelogram Based on Given Base and Height:
- Formula for the Area of a Parallelogram:
[tex]\[ \text{Area} = \text{Base} \times \text{Height} \][/tex]
- Given Measurements:
- Base length [tex]\( = 14 \text{ cm} \)[/tex]
- Height [tex]\( = 11 \text{ cm} \)[/tex]
- Calculation:
[tex]\[ \text{Area} = 14 \times 11 = 154 \text{ square centimeters (cm}^2\text{)} \][/tex]
2. Complete the Given Table:
- Formula for the Area of a Parallelogram:
[tex]\[ \text{Area} = \text{Base} \times \text{Height} \][/tex]
- Using the formula, we fill in each row of the table:
- For base [tex]\( = 700 \text{ m} \)[/tex] and height [tex]\( = 40 \text{ m} \)[/tex]:
[tex]\[ \text{Area} = 700 \times 40 = 28000 \text{ square meters (m}^2\text{)} \][/tex]
- For base [tex]\( = 800 \text{ m} \)[/tex] and height [tex]\( = 120 \text{ m} \)[/tex]:
[tex]\[ \text{Area} = 800 \times 120 = 96000 \text{ square meters (m}^2\text{)} \][/tex]
- For base [tex]\( = 580 \text{ m} \)[/tex] and height [tex]\( = 100 \text{ m} \)[/tex]:
[tex]\[ \text{Area} = 580 \times 100 = 58000 \text{ square meters (m}^2\text{)} \][/tex]
- For base [tex]\( = 1300 \text{ m} \)[/tex] and height [tex]\( = 600 \text{ m} \)[/tex]:
[tex]\[ \text{Area} = 1300 \times 600 = 780000 \text{ square meters (m}^2\text{)} \][/tex]
Now the completed table looks like this:
[tex]\[
\begin{tabular}{|l|l|l|}
\hline
Base length (m) & Height (m) & Area in square meters \\
\hline
700 & 40 & 28000 \\
\hline
800 & 120 & 96000 \\
\hline
580 & 100 & 58000 \\
\hline
1300 & 600 & 780000 \\
\hline
\end{tabular}
\][/tex]
3. Area of Leli's Garden:
- Given Measurements:
- Base length [tex]\( = 32 \text{ m} \)[/tex]
- Height [tex]\( = 21 \text{ m} \)[/tex]
- Calculation:
[tex]\[ \text{Area} = 32 \times 21 = 672 \text{ square meters (m}^2\text{)} \][/tex]
So, the final results are:
- The area of a parallelogram with base length 14 cm and height 11 cm is 154 cm².
- The completed table with areas in square meters is as shown.
- The area of Leli's garden, with dimensions 32 m by 21 m, is 672 m².
