Answer:
Area of three triangles = 36 square units
Area of the composite figure = 60 square units
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Area of ΔABC = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 square units
Area of ΔCDE = [tex]\frac{1}{2}(4)(6)[/tex]
= 12 square units
Area of ΔGEF = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 square units
Area of rectangle ACEG = Length × Width
= AC × CE
= 6 × 4
= 24 square units
Area of three triangles = 12 + 12 + 12
= 36 square units
Area of the composite figure = Area of three triangles + Area of the rectangle
= 36 + 24
= 60 square units
