The figure, not drawn to scale, is made up of 2 triangles, TZA and XZA. TU is
12 of XY. VW is
45 of TU and the difference between XY and VW is 54 cm. Given that AZ = 14 cm, find the area of the entire figure.
TU |
XY |
VW |
1x5 |
2x5 |
|
5x1 |
|
4x1 |
5 u |
10 u |
4 u |
6 u = 54 cm
1 u = 54 ÷ 6 = 9 cm
Length of TU
= 5 u
= 5 x 9
= 45 cm
Length of XY
= 10 u
= 10 x 9
= 90 cm
Length of VW
= 4 u
= 4 x 9
= 36 cm
Area of Triangle TZA
=
12 x 14 x 45
= 315 cm
2 Area of Triangle XAZ
=
12 x 14 x 90
= 630 cm
2 Area of Triangle VAZ
=
12 x 14 x 36
= 252 cm
2 Area of the figure
= 315 + 630 - 252
= 693 cm
2 Answer(s): 693 cm
2