The figure, not drawn to scale, is made up of 2 triangles, TZA and XZA. TU is
12 of XY. VW is
56 of TU and the difference between XY and VW is 21 cm. Given that AZ = 16 cm, find the area of the entire figure.
TU |
XY |
VW |
1x6 |
2x6 |
|
6x1 |
|
5x1 |
6 u |
12 u |
5 u |
7 u = 21 cm
1 u = 21 ÷ 7 = 3 cm
Length of TU
= 6 u
= 6 x 3
= 18 cm
Length of XY
= 12 u
= 12 x 3
= 36 cm
Length of VW
= 5 u
= 5 x 3
= 15 cm
Area of Triangle TZA
=
12 x 16 x 18
= 144 cm
2 Area of Triangle XAZ
=
12 x 16 x 36
= 288 cm
2 Area of Triangle VAZ
=
12 x 16 x 15
= 120 cm
2 Area of the figure
= 144 + 288 - 120
= 312 cm
2 Answer(s): 312 cm
2