Answer:
158.76 cm²
Step-by-step explanation:
Quadrilateral ABCD is composed of 2 right triangles
Construct the line BD, then
Δ ABD and Δ BCD are the 2 right triangles.
The area (A) of a triangle is calculated using
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Δ ABD with b = 18 and h = 7.5
A = [tex]\frac{1}{2}[/tex] × 18 × 7.5 = 9 × 7.5 = 67.5 cm²
Δ BCD with b = 15.6 and h = 11.7
A = [tex]\frac{1}{2}[/tex] × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²
Thus
area of ABCD = 67.5 + 91.26 = 158.76 cm²
