The figure, not drawn to scale, is made up of 2 triangles, UAB and YAB. UV is
12 of YZ. WX is
67 of UV and the difference between YZ and WX is 72 cm. Given that BA = 18 cm, find the area of the entire figure.
UV |
YZ |
WX |
1x7 |
2x7 |
|
7x1 |
|
6x1 |
7 u |
14 u |
6 u |
8 u = 72 cm
1 u = 72 ÷ 8 = 9 cm
Length of UV
= 7 u
= 7 x 9
= 63 cm
Length of YZ
= 14 u
= 14 x 9
= 126 cm
Length of WX
= 6 u
= 6 x 9
= 54 cm
Area of Triangle UAB
=
12 x 18 x 63
= 567 cm
2 Area of Triangle YBA
=
12 x 18 x 126
= 1134 cm
2 Area of Triangle WBA
=
12 x 18 x 54
= 486 cm
2 Area of the figure
= 567 + 1134 - 486
= 1215 cm
2 Answer(s): 1215 cm
2