The figure, not drawn to scale, is made up of 2 triangles, YEF and CEF. YZ is
12 of CD. AB is
56 of YZ and the difference between CD and AB is 35 cm. Given that FE = 17 cm, find the area of the entire figure.
YZ |
CD |
AB |
1x6 |
2x6 |
|
6x1 |
|
5x1 |
6 u |
12 u |
5 u |
7 u = 35 cm
1 u = 35 ÷ 7 = 5 cm
Length of YZ
= 6 u
= 6 x 5
= 30 cm
Length of CD
= 12 u
= 12 x 5
= 60 cm
Length of AB
= 5 u
= 5 x 5
= 25 cm
Area of Triangle YEF
=
12 x 17 x 30
= 255 cm
2 Area of Triangle CFE
=
12 x 17 x 60
= 510 cm
2 Area of Triangle AFE
=
12 x 17 x 25
= 212.5 cm
2 Area of the figure
= 255 + 510 - 212.5
= 552.5 cm
2 Answer(s): 552.5 cm
2