The figure, not drawn to scale, is made up of 2 triangles, SYZ and WYZ. ST is
12 of WX. UV is
78 of ST and the difference between WX and UV is 63 cm. Given that ZY = 22 cm, find the area of the entire figure.
ST |
WX |
UV |
1x8 |
2x8 |
|
8x1 |
|
7x1 |
8 u |
16 u |
7 u |
9 u = 63 cm
1 u = 63 ÷ 9 = 7 cm
Length of ST
= 8 u
= 8 x 7
= 56 cm
Length of WX
= 16 u
= 16 x 7
= 112 cm
Length of UV
= 7 u
= 7 x 7
= 49 cm
Area of Triangle SYZ
=
12 x 22 x 56
= 616 cm
2 Area of Triangle WZY
=
12 x 22 x 112
= 1232 cm
2 Area of Triangle UZY
=
12 x 22 x 49
= 539 cm
2 Area of the figure
= 616 + 1232 - 539
= 1309 cm
2 Answer(s): 1309 cm
2