The figure, not drawn to scale, is made up of 2 triangles, UAB and YAB. UV is
12 of YZ. WX is
45 of UV and the difference between YZ and WX is 18 cm. Given that BA = 14 cm, find the area of the entire figure.
UV |
YZ |
WX |
1x5 |
2x5 |
|
5x1 |
|
4x1 |
5 u |
10 u |
4 u |
6 u = 18 cm
1 u = 18 ÷ 6 = 3 cm
Length of UV
= 5 u
= 5 x 3
= 15 cm
Length of YZ
= 10 u
= 10 x 3
= 30 cm
Length of WX
= 4 u
= 4 x 3
= 12 cm
Area of Triangle UAB
=
12 x 14 x 15
= 105 cm
2 Area of Triangle YBA
=
12 x 14 x 30
= 210 cm
2 Area of Triangle WBA
=
12 x 14 x 12
= 84 cm
2 Area of the figure
= 105 + 210 - 84
= 231 cm
2 Answer(s): 231 cm
2