The figure, not drawn to scale, is made up of 2 triangles, GNP and LNP. GH is
12 of LM. JK is
78 of GH and the difference between LM and JK is 72 cm. Given that PN = 22 cm, find the area of the entire figure.
GH |
LM |
JK |
1x8 |
2x8 |
|
8x1 |
|
7x1 |
8 u |
16 u |
7 u |
9 u = 72 cm
1 u = 72 ÷ 9 = 8 cm
Length of GH
= 8 u
= 8 x 8
= 64 cm
Length of LM
= 16 u
= 16 x 8
= 128 cm
Length of JK
= 7 u
= 7 x 8
= 56 cm
Area of Triangle GNP
=
12 x 22 x 64
= 704 cm
2 Area of Triangle LPN
=
12 x 22 x 128
= 1408 cm
2 Area of Triangle JPN
=
12 x 22 x 56
= 616 cm
2 Area of the figure
= 704 + 1408 - 616
= 1496 cm
2 Answer(s): 1496 cm
2