The figure, not drawn to scale, is made up of 2 triangles, SYZ and WYZ. ST is
12 of WX. UV is
67 of ST and the difference between WX and UV is 16 cm. Given that ZY = 18 cm, find the area of the entire figure.
ST |
WX |
UV |
1x7 |
2x7 |
|
7x1 |
|
6x1 |
7 u |
14 u |
6 u |
8 u = 16 cm
1 u = 16 ÷ 8 = 2 cm
Length of ST
= 7 u
= 7 x 2
= 14 cm
Length of WX
= 14 u
= 14 x 2
= 28 cm
Length of UV
= 6 u
= 6 x 2
= 12 cm
Area of Triangle SYZ
=
12 x 18 x 14
= 126 cm
2 Area of Triangle WZY
=
12 x 18 x 28
= 252 cm
2 Area of Triangle UZY
=
12 x 18 x 12
= 108 cm
2 Area of the figure
= 126 + 252 - 108
= 270 cm
2 Answer(s): 270 cm
2