The figure, not drawn to scale, is made up of 2 triangles, ZFG and DFG. ZA is
12 of DE. BC is
45 of ZA and the difference between DE and BC is 60 cm. Given that GF = 16 cm, find the area of the entire figure.
ZA |
DE |
BC |
1x5 |
2x5 |
|
5x1 |
|
4x1 |
5 u |
10 u |
4 u |
6 u = 60 cm
1 u = 60 ÷ 6 = 10 cm
Length of ZA
= 5 u
= 5 x 10
= 50 cm
Length of DE
= 10 u
= 10 x 10
= 100 cm
Length of BC
= 4 u
= 4 x 10
= 40 cm
Area of Triangle ZFG
=
12 x 16 x 50
= 400 cm
2 Area of Triangle DGF
=
12 x 16 x 100
= 800 cm
2 Area of Triangle BGF
=
12 x 16 x 40
= 320 cm
2 Area of the figure
= 400 + 800 - 320
= 880 cm
2 Answer(s): 880 cm
2