Question

Using the image below, determine the area of the green shaded region. The rectangle

has side lengths of 12 and 8.
12
13

Answer 1

Option (3)

Explanation:

From the picture attached,

Area of the green shaded region = Area of triangle ADC + Area of triangle ABE

Area of triangle ADC =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)(AD)(DC)`

=
`(1)/(2)(12)(8)`

= 48 square units

Area of triangle ABE =
`(1)/(2)(AB)(BE)`

=
`(1)/(2)(12)(8-3)`

= 30 square units

Area of green shaded region = 48 + 30 = 78 square units

Option (3) will be the answer.