Respuesta :

Answer:

area of composite figure = 960 in²

Step-by-step explanation:

The composite figure is composed of a square ( lower figure ) and a triangle

The area ( A) of a square is calculated as

A = s² (s is the side length )

here s = 24 , then

A = 24² = 576 in²

The area (A ) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 24 and h = 32 , then

A = [tex]\frac{1}{2}[/tex] × 24 × 32 = 12 × 32 = 384 in²

The area of the composite figure is then the sum of the two areas

area of composite figure = 576 + 384 = 960 in²