Question

d) determine the area
16 cm
12 cm
24 cm

Explanation:

Step1: Divide the figure

Divide the figure into a rectangle and a triangle. The rectangle has length 16 cm and width 12 cm. The base of the triangle is $24 - 16=8$ cm and the height is 12 cm.

Step2: Calculate rectangle area

The area formula for a rectangle is $A_{rect}=l\times w$. So, $A_{rect}=16\times12 = 192$ $cm^{2}$.

Step3: Calculate triangle area

The area formula for a triangle is $A_{tri}=\frac{1}{2}\times b\times h$. Here, $b = 8$ cm and $h = 12$ cm, so $A_{tri}=\frac{1}{2}\times8\times12=48$ $cm^{2}$.

Step4: Calculate total area

The total area $A = A_{rect}+A_{tri}$. So, $A=192 + 48=240$ $cm^{2}$.

Answer:

$240$ $cm^{2}$