The figure, not drawn to scale, is made up of 2 triangles, VBC and ZBC. VW is
12 of ZA. XY is
56 of VW and the difference between ZA and XY is 42 cm. Given that CB = 17 cm, find the area of the entire figure.
VW |
ZA |
XY |
1x6 |
2x6 |
|
6x1 |
|
5x1 |
6 u |
12 u |
5 u |
7 u = 42 cm
1 u = 42 ÷ 7 = 6 cm
Length of VW
= 6 u
= 6 x 6
= 36 cm
Length of ZA
= 12 u
= 12 x 6
= 72 cm
Length of XY
= 5 u
= 5 x 6
= 30 cm
Area of Triangle VBC
=
12 x 17 x 36
= 306 cm
2 Area of Triangle ZCB
=
12 x 17 x 72
= 612 cm
2 Area of Triangle XCB
=
12 x 17 x 30
= 255 cm
2 Area of the figure
= 306 + 612 - 255
= 663 cm
2 Answer(s): 663 cm
2