Question

question 14 1 pts

2 cm 6 cm
6 cm 6 cm
8 cm
12 cm 12 cm

which of the following expressions can be used to find the area of the polygon?
type in letter choice

a. (2×12) + (6×12) + (12×16)
b. (12×6) + (2×6) + (6×6)
c. (12×16) − (8×6)
d. (2×12) + (6×12) + (8×16)

Explanation:

Step1: Find area of outer rectangle

$\text{Area}_{\text{outer}} = 12 \times 16 = 192$ $\text{cm}^2$

Step2: Find area of inner cutout

$\text{Area}_{\text{cutout}} = 8 \times 6 = 48$ $\text{cm}^2$

Step3: Subtract cutout from outer area

$\text{Area}_{\text{polygon}} = \text{Area}_{\text{outer}} - \text{Area}_{\text{cutout}}$

Answer:

C. $(12×16)-(8×6)$