Answer:
area = 84 cm²
Step-by-step explanation:
the quadrilateral is made up of 2 triangles ABD and BDC
area of Δ ABD = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
A = [tex]\frac{1}{2}[/tex] × BD × AE = [tex]\frac{1}{2}[/tex] × 14 × 7 = 7 × 7 = 49 cm²
area of Δ BDC = [tex]\frac{1}{2}[/tex] × BD × CF = [tex]\frac{1}{2}[/tex] × 14 × 5 = 7 × 5 = 35 cm²
area of ABCD = 49 + 35 = 84 cm²
