Based on the measurements provided in the figure: AB = 2.7 cm, BC = 1.5 cm, and the total length AD = 4.5 cm. Find the lengths of CD, AC, and BD.

Question 11:
Based on the measurements provided in the figure:
$AB = 2.7 \text{ cm}$
$BC = 1.5 \text{ cm}$
The total length $AD = 4.5 \text{ cm}$.
We can find $CD$ by subtracting $AB$ and $BC$ from $AD$:
$CD = AD - AB - BC = 4.5 - 2.7 - 1.5 = 0.3 \text{ cm}$.
Also, we can find $AC$ and $BD$:
$AC = AB + BC = 2.7 + 1.5 = 4.2 \text{ cm}$
$BD = BC + CD = 1.5 + 0.3 = 1.8 \text{ cm}$

Step 1: Calculate the required lengths using the given measurements.

*a) $AB + BC$

$$AB + BC = 2.7 \text{ cm} + 1.5 \text{ cm} = \boxed{\text{4.2 cm}}$$

*b) $BC + CD$

$$BC + CD = 1.5 \text{ cm} + 0.3 \text{ cm} = \boxed{\text{1.8 cm}}$$

*c) $AC - BC$

$$AC - BC = 4.2 \text{ cm} - 1.5 \text{ cm} = \boxed{\text{2.7 cm}}$$

*d) $BD - CD$

$$BD - CD = 1.8 \text{ cm} - 0.3 \text{ cm} = \boxed{\text{1.5 cm}}$$

Question 12:
Based on the measurements provided in the figure:
$PQ = 1.8 \text{ cm}$
$QR = 1.5 \text{ cm}$
$RS = 1.6 \text{ cm}$