The figure, not drawn to scale, is made up of 2 triangles, RXY and VXY. RS is
12 of VW. TU is
56 of RS and the difference between VW and TU is 42 cm. Given that YX = 16 cm, find the area of the entire figure.
RS |
VW |
TU |
1x6 |
2x6 |
|
6x1 |
|
5x1 |
6 u |
12 u |
5 u |
7 u = 42 cm
1 u = 42 ÷ 7 = 6 cm
Length of RS
= 6 u
= 6 x 6
= 36 cm
Length of VW
= 12 u
= 12 x 6
= 72 cm
Length of TU
= 5 u
= 5 x 6
= 30 cm
Area of Triangle RXY
=
12 x 16 x 36
= 288 cm
2 Area of Triangle VYX
=
12 x 16 x 72
= 576 cm
2 Area of Triangle TYX
=
12 x 16 x 30
= 240 cm
2 Area of the figure
= 288 + 576 - 240
= 624 cm
2 Answer(s): 624 cm
2