Answer:
![Area = 24cm^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/f32j4jipu6ldq0wweiij6r7fxvlrapfo0l.png)
![Area= 24cm^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/e9oobf1m3bhcdnkodde78hjz6xeg7t38ui.png)
Explanation:
Given
See attachment for rectangle
Solving (a):
From the first rectangle, there are 6 columns and 3 rows.
This implies that:
![Length= 3cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/enacbuswocdotn0fu8ajjnz4dm048lgd27.png)
![Width = 6cm](https://img.qammunity.org/2022/formulas/mathematics/college/1wfgi34m9m5rt7p5ywu01u1sbot4mqmyla.png)
So, the area is:
![Area = Length * Width](https://img.qammunity.org/2022/formulas/mathematics/college/14jjiqkh69peazba6khve5dmx2929knauy.png)
![Area = 3cm * 6cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/yaovferew5dysck3qfv2c4rbmyptjwq9ma.png)
![Area = 18cm^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/hl5fhtfp40eqi9lx6u9jgbw9wuximt8ids.png)
Solving (a):
From the first rectangle, there are 3 rows and the total area is 24.
This implies that:
![Length= 3cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/enacbuswocdotn0fu8ajjnz4dm048lgd27.png)
![Area= 24cm^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/e9oobf1m3bhcdnkodde78hjz6xeg7t38ui.png)
Area is:
![Area = Length * Width](https://img.qammunity.org/2022/formulas/mathematics/college/14jjiqkh69peazba6khve5dmx2929knauy.png)
![24cm^2= 3cm * Width](https://img.qammunity.org/2022/formulas/mathematics/high-school/743m827hrd7co4r3xip25ud7sba27gjug9.png)
Make Width the subject
![Width = (24cm^2)/(3cm)](https://img.qammunity.org/2022/formulas/mathematics/high-school/7osv3uu5prclbxvt2378k5oyezfe21hnpy.png)
![Width = 8cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/bd9vdhcv6s6gi1kmg9c98cfmihc2uxwtu2.png)