Answer:
See attachment
Explanation:
Given
![Side\ 1 = 10cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/6jwutsyrs3wi7h1272ye8efwt9tsvova0n.png)
![Side\ 2 = 12cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/jzwlyttsd8v2nnwnovk4kvf8itohwlpp5l.png)
![\theta = 90^\circ](https://img.qammunity.org/2022/formulas/mathematics/high-school/jbihh16qul0uj4wds9wh9lxici2sse6p8c.png)
Required [Missing from the question]
Draw the top of the cake
See attachment for reference.
From the attachment,
![2cm = 1\ unit](https://img.qammunity.org/2022/formulas/mathematics/high-school/hph0vlku1zhloorl09r72tml4hiyqepd73.png)
So:
![Side\ 1 = 10cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/6jwutsyrs3wi7h1272ye8efwt9tsvova0n.png)
![Side\ 1 = 5 * 2cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/3ftsvu9f7col3it9b6cuji6d4sze0um49d.png)
Substitute
![2cm = 1\ unit](https://img.qammunity.org/2022/formulas/mathematics/high-school/hph0vlku1zhloorl09r72tml4hiyqepd73.png)
![Side\ 1 = 5 * 1unit](https://img.qammunity.org/2022/formulas/mathematics/high-school/ah7cg6hp5nl99bfwlfj9pl069ccn9nyrkl.png)
![Side\ 1 = 5\ units](https://img.qammunity.org/2022/formulas/mathematics/high-school/qxmn9hkezh7v7u2sj2c4rjjrun0c4ricmu.png)
![Side\ 2 = 12cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/jzwlyttsd8v2nnwnovk4kvf8itohwlpp5l.png)
![Side\ 2 = 6 * 2cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/geb6b3zi6ktl596zdot8ea54cr556qj7h4.png)
Substitute
![2cm = 1\ unit](https://img.qammunity.org/2022/formulas/mathematics/high-school/hph0vlku1zhloorl09r72tml4hiyqepd73.png)
![Side\ 2 = 6 * 1unit](https://img.qammunity.org/2022/formulas/mathematics/high-school/gm54hujlbp44lv94ssjjitvtiy457ws2d5.png)
![Side\ 2 = 6\ units](https://img.qammunity.org/2022/formulas/mathematics/high-school/kjtes8hdjxkagi4dj362dydr6w6745qrxz.png)
This means that, the given side lengths will be represented by 5 units and 6 units on the grid, respectively.
See attachment for drawing