Question

the diagram shows δabc inside a rectangle. what is the area of δabc? 14 ft² 28 ft² 64 ft² 32 ft² 8 ft 16 ft

Explanation:

Step1: Find rectangle area

The area formula for a rectangle is $A = l\times w$. Here, $l = 16$ ft and $w = 8$ ft, so $A_{rectangle}=16\times8 = 128$ ft².

Step2: Use triangle - rectangle area relationship

The area of a triangle inscribed in a rectangle as shown is half of the rectangle's area. So $A_{\triangle ABC}=\frac{1}{2}\times A_{rectangle}$.

Step3: Calculate triangle area

$A_{\triangle ABC}=\frac{1}{2}\times128 = 64$ ft².

Answer:

$64$ ft²