The figure, not drawn to scale, is made up of 2 triangles, ZFG and DFG. ZA is
12 of DE. BC is
78 of ZA and the difference between DE and BC is 27 cm. Given that GF = 22 cm, find the area of the entire figure.
ZA |
DE |
BC |
1x8 |
2x8 |
|
8x1 |
|
7x1 |
8 u |
16 u |
7 u |
9 u = 27 cm
1 u = 27 ÷ 9 = 3 cm
Length of ZA
= 8 u
= 8 x 3
= 24 cm
Length of DE
= 16 u
= 16 x 3
= 48 cm
Length of BC
= 7 u
= 7 x 3
= 21 cm
Area of Triangle ZFG
=
12 x 22 x 24
= 264 cm
2 Area of Triangle DGF
=
12 x 22 x 48
= 528 cm
2 Area of Triangle BGF
=
12 x 22 x 21
= 231 cm
2 Area of the figure
= 264 + 528 - 231
= 561 cm
2 Answer(s): 561 cm
2