Question

1. determine the area of the figure. 14 cm 12 cm 8 cm 12 cm 146 cm² 336 cm² 264 cm² 216 cm²

Explanation:

Step1: Calculate rectangle area

The area formula for a rectangle is $A = l\times w$. For the rectangle with length $l = 14$ cm and width $w = 12$ cm, $A_{rectangle}=14\times12 = 168$ $cm^{2}$.

Step2: Calculate triangle area

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

Step3: Calculate total area

The total area of the figure is the sum of the rectangle and triangle areas. $A = A_{rectangle}+A_{triangle}=168 + 96=264$ $cm^{2}$.

Answer:

$264$ $cm^{2}$