Question

find the area of the figure. hint: separate into regular shapes and combine the areas! a = ?ft² area formulas b×h (b×h)/2

Explanation:

Step1: Calculate triangle area

The formula for the area of a triangle is $A_{triangle}=\frac{b\times h}{2}$. Here, $b = 7$ ft and $h = 6$ ft. So $A_{triangle}=\frac{7\times6}{2}= 21$ ft².

Step2: Calculate rectangle area

The formula for the area of a rectangle is $A_{rectangle}=b\times h$. Here, $b = 7$ ft and $h = 12$ ft. So $A_{rectangle}=7\times12 = 84$ ft².

Step3: Calculate total area

The total area of the figure $A$ is the sum of the area of the triangle and the area of the rectangle. So $A=A_{triangle}+A_{rectangle}=21 + 84=105$ ft².

Answer:

$105$ ft²