Question

what is the area of the object above?
a. 14 cm²
b. 62 cm²
c. 24 cm²
d. 84 cm²

Explanation:

Step1: Divide the object into two rectangles

The object can be divided into two rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle has length \(7 + 2=9\mathrm{cm}\) and width \(2\mathrm{cm}\). Area \(A_1 = 9\times2=18\mathrm{cm}^2\).

Step3: Calculate the area of the second rectangle

The second rectangle has length \(4\mathrm{cm}\) and width \((12-(7 + 2)) = 3\mathrm{cm}\). Area \(A_2=4\times3 = 6\mathrm{cm}^2\).

Step4: Sum the areas of the two rectangles

Total area \(A=A_1+A_2=18 + 6=24\mathrm{cm}^2\).

Answer:

C. \(24\mathrm{cm}^2\)