The figure, not drawn to scale, is made up of 2 triangles, ELM and JLM. EF is
12 of JK. GH is
67 of EF and the difference between JK and GH is 64 cm. Given that ML = 17 cm, find the area of the entire figure.
EF |
JK |
GH |
1x7 |
2x7 |
|
7x1 |
|
6x1 |
7 u |
14 u |
6 u |
8 u = 64 cm
1 u = 64 ÷ 8 = 8 cm
Length of EF
= 7 u
= 7 x 8
= 56 cm
Length of JK
= 14 u
= 14 x 8
= 112 cm
Length of GH
= 6 u
= 6 x 8
= 48 cm
Area of Triangle ELM
=
12 x 17 x 56
= 476 cm
2 Area of Triangle JML
=
12 x 17 x 112
= 952 cm
2 Area of Triangle GML
=
12 x 17 x 48
= 408 cm
2 Area of the figure
= 476 + 952 - 408
= 1020 cm
2 Answer(s): 1020 cm
2