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 24 cm. Given that ML = 19 cm, find the area of the entire figure.
EF |
JK |
GH |
1x7 |
2x7 |
|
7x1 |
|
6x1 |
7 u |
14 u |
6 u |
8 u = 24 cm
1 u = 24 ÷ 8 = 3 cm
Length of EF
= 7 u
= 7 x 3
= 21 cm
Length of JK
= 14 u
= 14 x 3
= 42 cm
Length of GH
= 6 u
= 6 x 3
= 18 cm
Area of Triangle ELM
=
12 x 19 x 21
= 199.5 cm
2 Area of Triangle JML
=
12 x 19 x 42
= 399 cm
2 Area of Triangle GML
=
12 x 19 x 18
= 171 cm
2 Area of the figure
= 199.5 + 399 - 171
= 427.5 cm
2 Answer(s): 427.5 cm
2