3. Find the area of the composite figure.
32 in
35 in
24 in
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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