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 27 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 = 27 cm
1 u = 27 ÷ 9 = 3 cm
Length of UV
= 8 u
= 8 x 3
= 24 cm
Length of YZ
= 16 u
= 16 x 3
= 48 cm
Length of WX
= 7 u
= 7 x 3
= 21 cm
Area of Triangle UAB
=
12 x 19 x 24
= 228 cm
2 Area of Triangle YBA
=
12 x 19 x 48
= 456 cm
2 Area of Triangle WBA
=
12 x 19 x 21
= 199.5 cm
2 Area of the figure
= 228 + 456 - 199.5
= 484.5 cm
2 Answer(s): 484.5 cm
2