The figure, not drawn to scale, is made up of 2 triangles, UAB and YAB. UV is
12 of YZ. WX is
78 of UV and the difference between YZ and WX is 54 cm. Given that BA = 19 cm, find the area of the entire figure.
UV |
YZ |
WX |
1x8 |
2x8 |
|
8x1 |
|
7x1 |
8 u |
16 u |
7 u |
9 u = 54 cm
1 u = 54 ÷ 9 = 6 cm
Length of UV
= 8 u
= 8 x 6
= 48 cm
Length of YZ
= 16 u
= 16 x 6
= 96 cm
Length of WX
= 7 u
= 7 x 6
= 42 cm
Area of Triangle UAB
=
12 x 19 x 48
= 456 cm
2 Area of Triangle YBA
=
12 x 19 x 96
= 912 cm
2 Area of Triangle WBA
=
12 x 19 x 42
= 399 cm
2 Area of the figure
= 456 + 912 - 399
= 969 cm
2 Answer(s): 969 cm
2