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 30 cm. Given that AZ = 15 cm, find the area of the entire figure.
TU |
XY |
VW |
1x5 |
2x5 |
|
5x1 |
|
4x1 |
5 u |
10 u |
4 u |
6 u = 30 cm
1 u = 30 ÷ 6 = 5 cm
Length of TU
= 5 u
= 5 x 5
= 25 cm
Length of XY
= 10 u
= 10 x 5
= 50 cm
Length of VW
= 4 u
= 4 x 5
= 20 cm
Area of Triangle TZA
=
12 x 15 x 25
= 187.5 cm
2 Area of Triangle XAZ
=
12 x 15 x 50
= 375 cm
2 Area of Triangle VAZ
=
12 x 15 x 20
= 150 cm
2 Area of the figure
= 187.5 + 375 - 150
= 412.5 cm
2 Answer(s): 412.5 cm
2