Answer:
f = 10, g = 4.8 cm
Step-by-step explanation:
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
So,
Area of ADE = 60-48
=> 12 cm²
Area of ADE = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where Area = 12 cm², Base = 4 cm
12 = [tex]\frac{1}{2}(4)(Height)[/tex]
Height = 12-2
Height = 10 cm
Where Height is AD
So, AD = 10 cm
Also, AD is parallel and equal to BC[tex](f)[/tex]
So,
f = 10 cm
Now, Finding g
Area of ABCD = [tex]Base * Height[/tex]
Where Area = 48 cm², Base = 10 cm
48 = 10 * Height
Height = 48/10
Height = 4.8 cm
Whereas, Height is g
So, g = 4.8 cm
