Question

Find the area of the figure
area: units2

Answer 1

Area of the figure = 25 square units

Explanation:

Area of the given figure = Area of ΔCDE + Area of rectangle BCEI + Area of ΔABH + Area of GIF

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

=
`(1)/(2)(CE)(DK)`

=
`(1)/(2)(8)(4)`

= 16 units²

Area of rectangle BCEI = Length × Width

= CE × EI

= 8 × 1

= 8 units²

Area of ΔABH = Area of ΔGIF =
`(1)/(2)(1)(1)`

=
`(1)/(2)` units²

Area of the complete figure = 16 + 8 +
`(1)/(2)` +
`(1)/(2)`

= 25 units²