The figure, not drawn to scale, is made up of 2 triangles, XDE and BDE. XY is
12 of BC. ZA is
67 of XY and the difference between BC and ZA is 80 cm. Given that ED = 19 cm, find the area of the entire figure.
XY |
BC |
ZA |
1x7 |
2x7 |
|
7x1 |
|
6x1 |
7 u |
14 u |
6 u |
8 u = 80 cm
1 u = 80 ÷ 8 = 10 cm
Length of XY
= 7 u
= 7 x 10
= 70 cm
Length of BC
= 14 u
= 14 x 10
= 140 cm
Length of ZA
= 6 u
= 6 x 10
= 60 cm
Area of Triangle XDE
=
12 x 19 x 70
= 665 cm
2 Area of Triangle BED
=
12 x 19 x 140
= 1330 cm
2 Area of Triangle ZED
=
12 x 19 x 60
= 570 cm
2 Area of the figure
= 665 + 1330 - 570
= 1425 cm
2 Answer(s): 1425 cm
2