Question

How do you do this? please help me

Answer 1

f = 10, g = 4.8 cm

Explanation:

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

So,

Area of ADE = 60-48

=> 12 cm²

Area of ADE =
`(1)/(2) (Base)(Height)`

Where Area = 12 cm², Base = 4 cm

12 =
`(1)/(2)(4)(Height)`

Height = 12-2

Height = 10 cm

Where Height is AD

So, AD = 10 cm

Also, AD is parallel and equal to BC
`(f)`

So,

f = 10 cm

Now, Finding g

Area of ABCD =
`Base * Height`

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