Answer:
2212.5 cm²
Step-by-step explanation:
ABCD is constructed from 2 right triangles ABD and BCD
The area (A ) of a triangle is calculated using the formula
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
In ΔABD, b = AD = 60 and h = AB = 25, hence
A = [tex]\frac{1}{2}[/tex] × 60 × 25 = 30 × 25 = 750 cm²
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In ΔBCD, b = BD = 65 and h = CE = 45, hence
A = [tex]\frac{1}{2}[/tex] × 65 × 45 = 1462.5 cm²
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The area of figure ABCD = area of ΔABD + area of ΔBCD
A = 750 + 1462.5 = 2212.5 cm²
