The figure, not drawn to scale, is made up of 2 triangles, GNP and LNP. GH is
12 of LM. JK is
45 of GH and the difference between LM and JK is 12 cm. Given that PN = 16 cm, find the area of the entire figure.
GH |
LM |
JK |
1x5 |
2x5 |
|
5x1 |
|
4x1 |
5 u |
10 u |
4 u |
6 u = 12 cm
1 u = 12 ÷ 6 = 2 cm
Length of GH
= 5 u
= 5 x 2
= 10 cm
Length of LM
= 10 u
= 10 x 2
= 20 cm
Length of JK
= 4 u
= 4 x 2
= 8 cm
Area of Triangle GNP
=
12 x 16 x 10
= 80 cm
2 Area of Triangle LPN
=
12 x 16 x 20
= 160 cm
2 Area of Triangle JPN
=
12 x 16 x 8
= 64 cm
2 Area of the figure
= 80 + 160 - 64
= 176 cm
2 Answer(s): 176 cm
2