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 54 cm. Given that BA = 15 cm, find the area of the entire figure.
UV |
YZ |
WX |
1x5 |
2x5 |
|
5x1 |
|
4x1 |
5 u |
10 u |
4 u |
6 u = 54 cm
1 u = 54 ÷ 6 = 9 cm
Length of UV
= 5 u
= 5 x 9
= 45 cm
Length of YZ
= 10 u
= 10 x 9
= 90 cm
Length of WX
= 4 u
= 4 x 9
= 36 cm
Area of Triangle UAB
=
12 x 15 x 45
= 337.5 cm
2 Area of Triangle YBA
=
12 x 15 x 90
= 675 cm
2 Area of Triangle WBA
=
12 x 15 x 36
= 270 cm
2 Area of the figure
= 337.5 + 675 - 270
= 742.5 cm
2 Answer(s): 742.5 cm
2